11887948800 has 1386 divisors, whose sum is σ = 55348083798. Its totient is φ = 2508226560.

The previous prime is 11887948799. The next prime is 11887948841. The reversal of 11887948800 is 884978811.

11887948800 = 252³ + 253³ + ... + 476³.

It is a happy number.

11887948800 is a `hidden beast` number, since 11 + 88 + 79 + 488 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 11851370496 = 6048^2 + 108864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914457594 + ... + 914457606.

Almost surely, 2^11887948800 is an apocalyptic number.

11887948800 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 11887948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27674041899).

11887948800 is an abundant number, since it is smaller than the sum of its proper divisors (43460134998).

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

11887948800 is an equidigital number, since it uses as much as digits as its factorization.

11887948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 11887948800 in words is "eleven billion, eight hundred eighty-seven million, nine hundred forty-eight thousand, eight hundred".