57482409600 has 1728 divisors, whose sum is σ = 272779416000. Its totient is φ = 11425075200.

The previous prime is 57482409599. The next prime is 57482409629. The reversal of 57482409600 is 690428475.

57482409600 = 414³ + 415³ + ... + 713³.

It is a happy number.

57482409600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2499235189 + ... + 2499235211.

Almost surely, 2^57482409600 is an apocalyptic number.

57482409600 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 57482409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136389708000).

57482409600 is an abundant number, since it is smaller than the sum of its proper divisors (215297006400).

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

57482409600 is a wasteful number, since it uses less digits than its factorization.

57482409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 57482409600 in words is "fifty-seven billion, four hundred eighty-two million, four hundred nine thousand, six hundred".