12617615160 has 128 divisors (see below), whose sum is σ = 42160608000. Its totient is φ = 3356546688.

The previous prime is 12617615137. The next prime is 12617615177. The reversal of 12617615160 is 6151671621.

It is a happy number.

12617615160 is a `hidden beast` number, since 1 + 26 + 1 + 7 + 615 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 438579 + ... + 466461.

It is an arithmetic number, because the mean of its divisors is an integer number (329379750).

Almost surely, 2^12617615160 is an apocalyptic number.

12617615160 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 12617615160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21080304000).

12617615160 is an abundant number, since it is smaller than the sum of its proper divisors (29542992840).

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

12617615160 is a wasteful number, since it uses less digits than its factorization.

12617615160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28322 (or 28312 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12617615160 in words is "twelve billion, six hundred seventeen million, six hundred fifteen thousand, one hundred sixty".