57484624000 has 128 divisors (see below), whose sum is σ = 146408698800. Its totient is φ = 22432768000.

The previous prime is 57484623967. The next prime is 57484624061. The reversal of 57484624000 is 42648475.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8982490176 + 48502133824 = 94776^2 + 220232^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 612186 + ... + 699814.

Almost surely, 2^57484624000 is an apocalyptic number.

57484624000 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 57484624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73204349400).

57484624000 is an abundant number, since it is smaller than the sum of its proper divisors (88924074800).

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

57484624000 is an equidigital number, since it uses as much as digits as its factorization.

57484624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87699 (or 87677 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 57484624000 in words is "fifty-seven billion, four hundred eighty-four million, six hundred twenty-four thousand".