11807114400 has 864 divisors, whose sum is σ = 46680012288. Its totient is φ = 2797977600.

The previous prime is 11807114393. The next prime is 11807114419. The reversal of 11807114400 is 441170811.

11807114400 is a `hidden beast` number, since 1 + 180 + 71 + 14 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 251215177 + ... + 251215223.

It is an arithmetic number, because the mean of its divisors is an integer number (54027792).

Almost surely, 2^11807114400 is an apocalyptic number.

11807114400 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 11807114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

11807114400 is an abundant number, since it is smaller than the sum of its proper divisors (34872897888).

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

11807114400 is a wasteful number, since it uses less digits than its factorization.

11807114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 11807114400 in words is "eleven billion, eight hundred seven million, one hundred fourteen thousand, four hundred".