57624002500 has 45 divisors (see below), whose sum is σ = 126038421201. Its totient is φ = 23044800000.

The previous prime is 57624002497. The next prime is 57624002533. The reversal of 57624002500 is 520042675.

The square root of 57624002500 is 240050.

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

It can be written as a sum of positive squares in 7 ways, for example, as 40339115716 + 17284886784 = 200846^2 + 131472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12000100 + ... + 12004900.

Almost surely, 2^57624002500 is an apocalyptic number.

57624002500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57624002500 is the 240050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57624002500

57624002500 is an abundant number, since it is smaller than the sum of its proper divisors (68414418701).

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

57624002500 is an frugal number, since it uses more digits than its factorization.

57624002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9626 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The spelling of 57624002500 in words is "fifty-seven billion, six hundred twenty-four million, two thousand, five hundred".