5082256800 has 432 divisors, whose sum is σ = 19108776960. Its totient is φ = 1267384320.

The previous prime is 5082256799. The next prime is 5082256871. The reversal of 5082256800 is 86522805.

5082256800 is a `hidden beast` number, since 508 + 22 + 56 + 80 + 0 = 666.

It is a super-2 number, since 2×5082256800² = 51658668362292480000, which contains 22 as substring.

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

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, 13269409 + ... + 13269791.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 2^5082256800 is an apocalyptic number.

5082256800 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 5082256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9554388480).

5082256800 is an abundant number, since it is smaller than the sum of its proper divisors (14026520160).

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

5082256800 is a wasteful number, since it uses less digits than its factorization.

5082256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5082256800 is about 71289.9488006549. The cubic root of 5082256800 is about 1719.3021326080.

The spelling of 5082256800 in words is "five billion, eighty-two million, two hundred fifty-six thousand, eight hundred".