11815372800 has 1440 divisors, whose sum is σ = 56034538560. Its totient is φ = 2388787200.

The previous prime is 11815372769. The next prime is 11815372819. The reversal of 11815372800 is 827351811.

11815372800 is a `hidden beast` number, since 118 + 1 + 537 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319334382 + ... + 319334418.

It is an arithmetic number, because the mean of its divisors is an integer number (38912874).

Almost surely, 2^11815372800 is an apocalyptic number.

11815372800 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 11815372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017269280).

11815372800 is an abundant number, since it is smaller than the sum of its proper divisors (44219165760).

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

11815372800 is a wasteful number, since it uses less digits than its factorization.

11815372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11815372800 in words is "eleven billion, eight hundred fifteen million, three hundred seventy-two thousand, eight hundred".