11607312960 has 196 divisors, whose sum is σ = 41441746428. Its totient is φ = 3095221248.

The previous prime is 11607312947. The next prime is 11607313049. The reversal of 11607312960 is 6921370611.

11607312960 is a `hidden beast` number, since 11 + 607 + 31 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1562462784 + 10044850176 = 39528^2 + 100224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 208402 + ... + 258158.

Almost surely, 2^11607312960 is an apocalyptic number.

11607312960 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 11607312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20720873214).

11607312960 is an abundant number, since it is smaller than the sum of its proper divisors (29834433468).

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

11607312960 is an frugal number, since it uses more digits than its factorization.

11607312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49792 (or 49767 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 11607312960 in words is "eleven billion, six hundred seven million, three hundred twelve thousand, nine hundred sixty".