157172029037856 has 216 divisors, whose sum is σ = 547295459190480. Its totient is φ = 42542804779776.

The previous prime is 157172029037783. The next prime is 157172029037857. The reversal of 157172029037856 is 658730920271751.

It is a happy number.

157172029037856 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 7 + 202 + 9 + 0 + 378 + 56 = 666.

It is a super-2 number, since 2×157172029037856² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 157172029037793 and 157172029037802.

It is not an unprimeable number, because it can be changed into a prime (157172029037857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292823286 + ... + 293359541.

It is an arithmetic number, because the mean of its divisors is an integer number (2533775274030).

Almost surely, 2^{157172029037856} is an apocalyptic number.

157172029037856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157172029037856 is an abundant number, since it is smaller than the sum of its proper divisors (390123430152624).

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

157172029037856 is a wasteful number, since it uses less digits than its factorization.

157172029037856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586182876 (or 586182858 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 157172029037856 in words is "one hundred fifty-seven trillion, one hundred seventy-two billion, twenty-nine million, thirty-seven thousand, eight hundred fifty-six".