11811064320 has 480 divisors, whose sum is σ = 46191150720. Its totient is φ = 2762833920.

The previous prime is 11811064241. The next prime is 11811064337. The reversal of 11811064320 is 2346011811.

It is a happy number.

11811064320 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 10 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7348957 + ... + 7350563.

It is an arithmetic number, because the mean of its divisors is an integer number (96231564).

Almost surely, 2^11811064320 is an apocalyptic number.

11811064320 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 11811064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23095575360).

11811064320 is an abundant number, since it is smaller than the sum of its proper divisors (34380086400).

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

11811064320 is a wasteful number, since it uses less digits than its factorization.

11811064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11811064320 in words is "eleven billion, eight hundred eleven million, sixty-four thousand, three hundred twenty".