5257296800 has 72 divisors (see below), whose sum is σ = 14667873696. Its totient is φ = 1802499840.

The previous prime is 5257296797. The next prime is 5257296817. The reversal of 5257296800 is 86927525.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463802 + ... + 475001.

It is an arithmetic number, because the mean of its divisors is an integer number (203720468).

Almost surely, 2^5257296800 is an apocalyptic number.

5257296800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5257296800 is an abundant number, since it is smaller than the sum of its proper divisors (9410576896).

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

5257296800 is a wasteful number, since it uses less digits than its factorization.

5257296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938830 (or 938817 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The square root of 5257296800 is about 72507.2189509431. The cubic root of 5257296800 is about 1738.8181519508.

The spelling of 5257296800 in words is "five billion, two hundred fifty-seven million, two hundred ninety-six thousand, eight hundred".