157801512960 has 1216 divisors, whose sum is σ = 704641728000. Its totient is φ = 33294385152.

The previous prime is 157801512899. The next prime is 157801512977. The reversal of 157801512960 is 69215108751.

157801512960 is a `hidden beast` number, since 1 + 5 + 78 + 0 + 1 + 512 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12138577914 + ... + 12138577926.

Almost surely, 2^157801512960 is an apocalyptic number.

157801512960 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 157801512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352320864000).

157801512960 is an abundant number, since it is smaller than the sum of its proper divisors (546840215040).

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

157801512960 is an frugal number, since it uses more digits than its factorization.

157801512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

It can be divided in two parts, 157801 and 512960, that added together give a square (670761 = 819²).

The spelling of 157801512960 in words is "one hundred fifty-seven billion, eight hundred one million, five hundred twelve thousand, nine hundred sixty".