11880354864 has 160 divisors (see below), whose sum is σ = 37590451200. Its totient is φ = 3158977536.

The previous prime is 11880354859. The next prime is 11880354929. The reversal of 11880354864 is 46845308811.

It is a super-2 number, since 2×11880354864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265162 + ... + 306710.

It is an arithmetic number, because the mean of its divisors is an integer number (234940320).

Almost surely, 2^11880354864 is an apocalyptic number.

11880354864 is a gapful number since it is divisible by the number (14) 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 11880354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795225600).

11880354864 is an abundant number, since it is smaller than the sum of its proper divisors (25710096336).

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

11880354864 is a wasteful number, since it uses less digits than its factorization.

11880354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41627 (or 41621 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 11880354864 in words is "eleven billion, eight hundred eighty million, three hundred fifty-four thousand, eight hundred sixty-four".