57475526400 has 756 divisors, whose sum is σ = 217189487872. Its totient is φ = 15049359360.

The previous prime is 57475526341. The next prime is 57475526419. The reversal of 57475526400 is 462557475.

57475526400 is a `hidden beast` number, since 57 + 4 + 7 + 552 + 6 + 40 + 0 = 666.

57475526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57475526400² (a number of 22 digits) contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 452563137 + ... + 452563263.

Almost surely, 2^57475526400 is an apocalyptic number.

57475526400 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 57475526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108594743936).

57475526400 is an abundant number, since it is smaller than the sum of its proper divisors (159713961472).

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

57475526400 is an equidigital number, since it uses as much as digits as its factorization.

57475526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 57475526400 in words is "fifty-seven billion, four hundred seventy-five million, five hundred twenty-six thousand, four hundred".