11752602400 has 288 divisors, whose sum is σ = 36143936640. Its totient is φ = 3624960000.

The previous prime is 11752602391. The next prime is 11752602427. The reversal of 11752602400 is 420625711.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 6220656 + ... + 6222544.

It is an arithmetic number, because the mean of its divisors is an integer number (125499780).

Almost surely, 2^11752602400 is an apocalyptic number.

11752602400 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 11752602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071968320).

11752602400 is an abundant number, since it is smaller than the sum of its proper divisors (24391334240).

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

11752602400 is a wasteful number, since it uses less digits than its factorization.

11752602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 11752602400 in words is "eleven billion, seven hundred fifty-two million, six hundred two thousand, four hundred".