157613087160 has 768 divisors, whose sum is σ = 588332160000. Its totient is φ = 36378574848.

The previous prime is 157613087113. The next prime is 157613087201. The reversal of 157613087160 is 61780316751.

157613087160 is a `hidden beast` number, since 1 + 576 + 1 + 3 + 0 + 8 + 71 + 6 + 0 = 666.

157613087160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 816648024 + ... + 816648216.

It is an arithmetic number, because the mean of its divisors is an integer number (766057500).

Almost surely, 2^157613087160 is an apocalyptic number.

157613087160 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 157613087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294166080000).

157613087160 is an abundant number, since it is smaller than the sum of its proper divisors (430719072840).

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

157613087160 is a wasteful number, since it uses less digits than its factorization.

157613087160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 157613087160 in words is "one hundred fifty-seven billion, six hundred thirteen million, eighty-seven thousand, one hundred sixty".