11880806400 has 864 divisors, whose sum is σ = 47528208000. Its totient is φ = 2822307840.

The previous prime is 11880806347. The next prime is 11880806417. The reversal of 11880806400 is 460808811.

11880806400 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 0 + 8 + 0 + 640 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201369571 + ... + 201369629.

It is an arithmetic number, because the mean of its divisors is an integer number (55009500).

Almost surely, 2^11880806400 is an apocalyptic number.

11880806400 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 11880806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104000).

11880806400 is an abundant number, since it is smaller than the sum of its proper divisors (35647401600).

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

11880806400 is a wasteful number, since it uses less digits than its factorization.

11880806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11880806400 in words is "eleven billion, eight hundred eighty million, eight hundred six thousand, four hundred".