11807078400 has 864 divisors, whose sum is σ = 47871467280. Its totient is φ = 2866544640.

The previous prime is 11807078377. The next prime is 11807078429. The reversal of 11807078400 is 487070811.

11807078400 is a `hidden beast` number, since 1 + 180 + 7 + 0 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161740764 + ... + 161740836.

Almost surely, 2^11807078400 is an apocalyptic number.

11807078400 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 11807078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935733640).

11807078400 is an abundant number, since it is smaller than the sum of its proper divisors (36064388880).

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

11807078400 is an equidigital number, since it uses as much as digits as its factorization.

11807078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 11807078400 in words is "eleven billion, eight hundred seven million, seventy-eight thousand, four hundred".