11389512960 has 324 divisors, whose sum is σ = 45842519268. Its totient is φ = 2603188224.

The previous prime is 11389512943. The next prime is 11389512973. The reversal of 11389512960 is 6921598311.

11389512960 is a `hidden beast` number, since 11 + 38 + 9 + 512 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6024243456 + 5365269504 = 77616^2 + 73248^2 .

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 35 ways as a sum of consecutive naturals, for example, 554392 + ... + 574568.

It is an arithmetic number, because the mean of its divisors is an integer number (141489257).

Almost surely, 2^11389512960 is an apocalyptic number.

11389512960 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 11389512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22921259634).

11389512960 is an abundant number, since it is smaller than the sum of its proper divisors (34453006308).

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

11389512960 is a wasteful number, since it uses less digits than its factorization.

11389512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20218 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11389512960 in words is "eleven billion, three hundred eighty-nine million, five hundred twelve thousand, nine hundred sixty".