157869217146240 has 384 divisors, whose sum is σ = 551271405484800. Its totient is φ = 41626369806336.

The previous prime is 157869217146197. The next prime is 157869217146241. The reversal of 157869217146240 is 42641712968751.

It is a happy number.

157869217146240 is a `hidden beast` number, since 1 + 5 + 7 + 8 + 69 + 2 + 1 + 71 + 462 + 40 = 666.

157869217146240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×157869217146240² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157869217146241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390769627 + ... + 391173413.

It is an arithmetic number, because the mean of its divisors is an integer number (1435602618450).

Almost surely, 2^{157869217146240} is an apocalyptic number.

157869217146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157869217146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275635702742400).

157869217146240 is an abundant number, since it is smaller than the sum of its proper divisors (393402188338560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157869217146240 is a wasteful number, since it uses less digits than its factorization.

157869217146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404574 (or 404559 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 157869217146240 in words is "one hundred fifty-seven trillion, eight hundred sixty-nine billion, two hundred seventeen million, one hundred forty-six thousand, two hundred forty".