11999534400 has 504 divisors, whose sum is σ = 50558639040. Its totient is φ = 2742128640.

The previous prime is 11999534347. The next prime is 11999534431. The reversal of 11999534400 is 443599911.

11999534400 is a `hidden beast` number, since 1 + 199 + 9 + 53 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2719396 + ... + 2723804.

It is an arithmetic number, because the mean of its divisors is an integer number (100314760).

Almost surely, 2^11999534400 is an apocalyptic number.

11999534400 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 11999534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25279319520).

11999534400 is an abundant number, since it is smaller than the sum of its proper divisors (38559104640).

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

11999534400 is an equidigital number, since it uses as much as digits as its factorization.

11999534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 11999534400 in words is "eleven billion, nine hundred ninety-nine million, five hundred thirty-four thousand, four hundred".