157597576045056 has 600 divisors, whose sum is σ = 547313311866816. Its totient is φ = 45017336770560.

The previous prime is 157597576045003. The next prime is 157597576045067. The reversal of 157597576045056 is 650540675795751.

157597576045056 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 9 + 7 + 5 + 7 + 604 + 5 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 59 ways as a sum of consecutive naturals, for example, 13962745845 + ... + 13962757131.

Almost surely, 2^{157597576045056} is an apocalyptic number.

157597576045056 is a gapful number since it is divisible by the number (16) 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 157597576045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273656655933408).

157597576045056 is an abundant number, since it is smaller than the sum of its proper divisors (389715735821760).

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

157597576045056 is an equidigital number, since it uses as much as digits as its factorization.

157597576045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18202 (or 18170 counting only the distinct ones).

The product of its (nonzero) digits is 1389150000, while the sum is 72.

The spelling of 157597576045056 in words is "one hundred fifty-seven trillion, five hundred ninety-seven billion, five hundred seventy-six million, forty-five thousand, fifty-six".