157262554088640 has 9408 divisors, whose sum is σ = 826902412922880. Its totient is φ = 27921578065920.

The previous prime is 157262554088621. The next prime is 157262554088657. The reversal of 157262554088640 is 46880455262751.

It is a happy number.

157262554088640 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 6 + 2 + 5 + 540 + 8 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 1766994989716 + ... + 1766994989804.

Almost surely, 2^{157262554088640} is an apocalyptic number.

157262554088640 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 157262554088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413451206461440).

157262554088640 is an abundant number, since it is smaller than the sum of its proper divisors (669639858834240).

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

157262554088640 is a wasteful number, since it uses less digits than its factorization.

157262554088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 157262554088640 in words is "one hundred fifty-seven trillion, two hundred sixty-two billion, five hundred fifty-four million, eighty-eight thousand, six hundred forty".