5756313600 has 420 divisors, whose sum is σ = 21385516284. Its totient is φ = 1530593280.

The previous prime is 5756313599. The next prime is 5756313631. The reversal of 5756313600 is 63136575.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588627 + ... + 16588973.

Almost surely, 2^5756313600 is an apocalyptic number.

5756313600 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 5756313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692758142).

5756313600 is an abundant number, since it is smaller than the sum of its proper divisors (15629202684).

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

5756313600 is an equidigital number, since it uses as much as digits as its factorization.

5756313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 5756313600 is about 75870.3736645603. The cubic root of 5756313600 is about 1792.1794038073.

Subtracting from 5756313600 its product of nonzero digits (56700), we obtain a square (5756256900 = 75870²).

The spelling of 5756313600 in words is "five billion, seven hundred fifty-six million, three hundred thirteen thousand, six hundred".