157557920256 has 160 divisors (see below), whose sum is σ = 508781275200. Its totient is φ = 47744778240.

The previous prime is 157557920251. The next prime is 157557920287. The reversal of 157557920256 is 652029755751.

157557920256 is a `hidden beast` number, since 15 + 7 + 5 + 579 + 2 + 0 + 2 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (157557920251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366001 + ... + 670128.

It is an arithmetic number, because the mean of its divisors is an integer number (3179882970).

Almost surely, 2^157557920256 is an apocalyptic number.

157557920256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157557920256 is an abundant number, since it is smaller than the sum of its proper divisors (351223354944).

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

157557920256 is a wasteful number, since it uses less digits than its factorization.

157557920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036167 (or 1036145 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 157557920256 in words is "one hundred fifty-seven billion, five hundred fifty-seven million, nine hundred twenty thousand, two hundred fifty-six".