15610008960 has 768 divisors, whose sum is σ = 68862044160. Its totient is φ = 3290554368.

The previous prime is 15610008949. The next prime is 15610008979. The reversal of 15610008960 is 6980001651.

15610008960 is a `hidden beast` number, since 1 + 561 + 0 + 0 + 0 + 8 + 96 + 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 95 ways as a sum of consecutive naturals, for example, 14151769 + ... + 14152871.

It is an arithmetic number, because the mean of its divisors is an integer number (89664120).

Almost surely, 2^15610008960 is an apocalyptic number.

15610008960 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 15610008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34431022080).

15610008960 is an abundant number, since it is smaller than the sum of its proper divisors (53252035200).

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

15610008960 is a wasteful number, since it uses less digits than its factorization.

15610008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 15610008960 in words is "fifteen billion, six hundred ten million, eight thousand, nine hundred sixty".