157630265160 has 128 divisors (see below), whose sum is σ = 488878346880. Its totient is φ = 40633786368.

The previous prime is 157630265159. The next prime is 157630265161. The reversal of 157630265160 is 61562036751.

157630265160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157630265159) and next prime (157630265161).

It is a super-3 number, since 3×157630265160³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (157630265161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343054 + ... + 657986.

It is an arithmetic number, because the mean of its divisors is an integer number (3819362085).

Almost surely, 2^157630265160 is an apocalyptic number.

157630265160 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 157630265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244439173440).

157630265160 is an abundant number, since it is smaller than the sum of its proper divisors (331248081720).

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

157630265160 is a wasteful number, since it uses less digits than its factorization.

157630265160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315087 (or 315083 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 157630265160 in words is "one hundred fifty-seven billion, six hundred thirty million, two hundred sixty-five thousand, one hundred sixty".