5256627230400 has 672 divisors, whose sum is σ = 21238332326400. Its totient is φ = 1108445921280.

The previous prime is 5256627230383. The next prime is 5256627230453. The reversal of 5256627230400 is 40327266525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1331801227 + ... + 1331805173.

It is an arithmetic number, because the mean of its divisors is an integer number (31604661200).

Almost surely, 2^{5256627230400} is an apocalyptic number.

5256627230400 is a gapful number since it is divisible by the number (50) 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 5256627230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10619166163200).

5256627230400 is an abundant number, since it is smaller than the sum of its proper divisors (15981705096000).

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

5256627230400 is a wasteful number, since it uses less digits than its factorization.

5256627230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 5256627230400 in words is "five trillion, two hundred fifty-six billion, six hundred twenty-seven million, two hundred thirty thousand, four hundred".