11856412800 has 384 divisors, whose sum is σ = 44462779200. Its totient is φ = 3083673600.

The previous prime is 11856412781. The next prime is 11856412829. The reversal of 11856412800 is 821465811.

11856412800 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 641 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3540727 + ... + 3544073.

Almost surely, 2^11856412800 is an apocalyptic number.

11856412800 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 11856412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22231389600).

11856412800 is an abundant number, since it is smaller than the sum of its proper divisors (32606366400).

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

11856412800 is a wasteful number, since it uses less digits than its factorization.

11856412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11856412800 in words is "eleven billion, eight hundred fifty-six million, four hundred twelve thousand, eight hundred".