5256630720000 has 1200 divisors, whose sum is σ = 20973622454928. Its totient is φ = 1256325120000.

The previous prime is 5256630719983. The next prime is 5256630720031. The reversal of 5256630720000 is 270366525.

It is a happy number.

5256630720000 is a `hidden beast` number, since 525 + 6 + 63 + 0 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2312638864 + ... + 2312641136.

Almost surely, 2^{5256630720000} is an apocalyptic number.

5256630720000 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 5256630720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10486811227464).

5256630720000 is an abundant number, since it is smaller than the sum of its proper divisors (15716991734928).

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

5256630720000 is a wasteful number, since it uses less digits than its factorization.

5256630720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 5256630720000 in words is "five trillion, two hundred fifty-six billion, six hundred thirty million, seven hundred twenty thousand".