157128759684864 has 864 divisors, whose sum is σ = 542845382643200. Its totient is φ = 44670320640000.

The previous prime is 157128759684863. The next prime is 157128759684929. The reversal of 157128759684864 is 468486957821751.

157128759684864 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 2 + 8 + 75 + 9 + 68 + 486 + 4 = 666.

157128759684864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157128759684863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1636692864 + ... + 1636788864.

Almost surely, 2^{157128759684864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157128759684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271422691321600).

157128759684864 is an abundant number, since it is smaller than the sum of its proper divisors (385716622958336).

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

157128759684864 is a wasteful number, since it uses less digits than its factorization.

157128759684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96170 (or 96139 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 81.

The spelling of 157128759684864 in words is "one hundred fifty-seven trillion, one hundred twenty-eight billion, seven hundred fifty-nine million, six hundred eighty-four thousand, eight hundred sixty-four".