15617316560 has 160 divisors (see below), whose sum is σ = 39541219200. Its totient is φ = 5713182720.

The previous prime is 15617316541. The next prime is 15617316593. The reversal of 15617316560 is 6561371651.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 21132671 + ... + 21133409.

It is an arithmetic number, because the mean of its divisors is an integer number (247132620).

Almost surely, 2^15617316560 is an apocalyptic number.

15617316560 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 15617316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19770609600).

15617316560 is an abundant number, since it is smaller than the sum of its proper divisors (23923902640).

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

15617316560 is a wasteful number, since it uses less digits than its factorization.

15617316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 15617316560 in words is "fifteen billion, six hundred seventeen million, three hundred sixteen thousand, five hundred sixty".