157527966920 has 128 divisors (see below), whose sum is σ = 382385111040. Its totient is φ = 58234725120.

The previous prime is 157527966899. The next prime is 157527966961. The reversal of 157527966920 is 29669725751.

It is a happy number.

It is a super-2 number, since 2×157527966920² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157527966920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19475117 + ... + 19483203.

It is an arithmetic number, because the mean of its divisors is an integer number (2987383680).

Almost surely, 2^157527966920 is an apocalyptic number.

157527966920 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 157527966920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191192555520).

157527966920 is an abundant number, since it is smaller than the sum of its proper divisors (224857144120).

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

157527966920 is a wasteful number, since it uses less digits than its factorization.

157527966920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8835 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 59.

The spelling of 157527966920 in words is "one hundred fifty-seven billion, five hundred twenty-seven million, nine hundred sixty-six thousand, nine hundred twenty".