5256794400 has 864 divisors, whose sum is σ = 21757232448. Its totient is φ = 1086259200.

The previous prime is 5256794357. The next prime is 5256794401. The reversal of 5256794400 is 44976525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256794401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99184774 + ... + 99184826.

It is an arithmetic number, because the mean of its divisors is an integer number (25181982).

Almost surely, 2^5256794400 is an apocalyptic number.

5256794400 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 5256794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878616224).

5256794400 is an abundant number, since it is smaller than the sum of its proper divisors (16500438048).

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

5256794400 is a wasteful number, since it uses less digits than its factorization.

5256794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5256794400 is about 72503.7543855489. The cubic root of 5256794400 is about 1738.7627616300.

The spelling of 5256794400 in words is "five billion, two hundred fifty-six million, seven hundred ninety-four thousand, four hundred".