13610928960 has 840 divisors, whose sum is σ = 54347546880. Its totient is φ = 3226189824.

The previous prime is 13610928953. The next prime is 13610928979. The reversal of 13610928960 is 6982901631.

It is a happy number.

13610928960 is a `hidden beast` number, since 1 + 3 + 610 + 9 + 28 + 9 + 6 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172290201 + ... + 172290279.

Almost surely, 2^13610928960 is an apocalyptic number.

13610928960 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 13610928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27173773440).

13610928960 is an abundant number, since it is smaller than the sum of its proper divisors (40736617920).

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

13610928960 is a wasteful number, since it uses less digits than its factorization.

13610928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 13610928960 in words is "thirteen billion, six hundred ten million, nine hundred twenty-eight thousand, nine hundred sixty".