5756256900 has 189 divisors, whose sum is σ = 18794933983. Its totient is φ = 1529539200.

The previous prime is 5756256881. The next prime is 5756256971. The reversal of 5756256900 is 96526575.

The square root of 5756256900 is 75870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 5748065856 = 2862^2 + 75816^2 .

It is a super-2 number, since 2×5756256900² = 66268986997595220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20484760 + ... + 20485040.

Almost surely, 2^5756256900 is an apocalyptic number.

5756256900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5756256900 is the 75870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5756256900

5756256900 is an abundant number, since it is smaller than the sum of its proper divisors (13038677083).

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

5756256900 is an equidigital number, since it uses as much as digits as its factorization.

5756256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The cubic root of 5756256900 is about 1792.1735194333.

The spelling of 5756256900 in words is "five billion, seven hundred fifty-six million, two hundred fifty-six thousand, nine hundred".