157262218364160 has 1728 divisors, whose sum is σ = 702643902912000. Its totient is φ = 33012943552512.

The previous prime is 157262218364113. The next prime is 157262218364161. The reversal of 157262218364160 is 61463812262751.

157262218364160 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 6 + 2 + 218 + 3 + 6 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 157262218364097 and 157262218364106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157262218364161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4380911332 + ... + 4380947228.

It is an arithmetic number, because the mean of its divisors is an integer number (406622629000).

Almost surely, 2^{157262218364160} is an apocalyptic number.

157262218364160 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 157262218364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351321951456000).

157262218364160 is an abundant number, since it is smaller than the sum of its proper divisors (545381684547840).

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

157262218364160 is a wasteful number, since it uses less digits than its factorization.

157262218364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36153 (or 36126 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 157262218364160 in words is "one hundred fifty-seven trillion, two hundred sixty-two billion, two hundred eighteen million, three hundred sixty-four thousand, one hundred sixty".