11883864960 has 864 divisors, whose sum is σ = 48727715400. Its totient is φ = 2665512960.

The previous prime is 11883864947. The next prime is 11883864991. The reversal of 11883864960 is 6946838811.

11883864960 is a `hidden beast` number, since 118 + 8 + 38 + 6 + 496 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11883864897 and 11883864906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 201421411 + ... + 201421469.

Almost surely, 2^11883864960 is an apocalyptic number.

11883864960 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 11883864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24363857700).

11883864960 is an abundant number, since it is smaller than the sum of its proper divisors (36843850440).

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

11883864960 is a wasteful number, since it uses less digits than its factorization.

11883864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11883864960 in words is "eleven billion, eight hundred eighty-three million, eight hundred sixty-four thousand, nine hundred sixty".