157585976140800 has 528 divisors, whose sum is σ = 552109868278272. Its totient is φ = 39504877977600.

The previous prime is 157585976140793. The next prime is 157585976140871. The reversal of 157585976140800 is 8041679585751.

It is a super-2 number, since 2×157585976140800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1126662870 + ... + 1126802730.

Almost surely, 2^{157585976140800} is an apocalyptic number.

157585976140800 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 157585976140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276054934139136).

157585976140800 is an abundant number, since it is smaller than the sum of its proper divisors (394523892137472).

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

157585976140800 is a wasteful number, since it uses less digits than its factorization.

157585976140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140774 (or 140751 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 66.

The spelling of 157585976140800 in words is "one hundred fifty-seven trillion, five hundred eighty-five billion, nine hundred seventy-six million, one hundred forty thousand, eight hundred".