11521812960 has 432 divisors, whose sum is σ = 45978646896. Its totient is φ = 2619703296.

The previous prime is 11521812937. The next prime is 11521812961. The reversal of 11521812960 is 6921812511.

11521812960 is a `hidden beast` number, since 1 + 1 + 521 + 8 + 129 + 6 + 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 not an unprimeable number, because it can be changed into a prime (11521812961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19968192 + ... + 19968768.

It is an arithmetic number, because the mean of its divisors is an integer number (106432053).

Almost surely, 2^11521812960 is an apocalyptic number.

11521812960 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 11521812960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22989323448).

11521812960 is an abundant number, since it is smaller than the sum of its proper divisors (34456833936).

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

11521812960 is a wasteful number, since it uses less digits than its factorization.

11521812960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11521812960 in words is "eleven billion, five hundred twenty-one million, eight hundred twelve thousand, nine hundred sixty".