57514406400 has 1080 divisors, whose sum is σ = 238674067632. Its totient is φ = 13602816000.

The previous prime is 57514406363. The next prime is 57514406401. The reversal of 57514406400 is 460441575.

57514406400 is a `hidden beast` number, since 5 + 7 + 5 + 1 + 4 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57514406401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1402790380 + ... + 1402790420.

Almost surely, 2^57514406400 is an apocalyptic number.

57514406400 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 57514406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119337033816).

57514406400 is an abundant number, since it is smaller than the sum of its proper divisors (181159661232).

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

57514406400 is an equidigital number, since it uses as much as digits as its factorization.

57514406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 57514406400 its reverse (460441575), we get a palindrome (57974847975).

The spelling of 57514406400 in words is "fifty-seven billion, five hundred fourteen million, four hundred six thousand, four hundred".