57401416800 has 2304 divisors, whose sum is σ = 283481856000. Its totient is φ = 10868981760.

The previous prime is 57401416777. The next prime is 57401416811. The reversal of 57401416800 is 861410475.

It is a happy number.

57401416800 is a `hidden beast` number, since 574 + 0 + 1 + 4 + 1 + 6 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1083045574 + ... + 1083045626.

It is an arithmetic number, because the mean of its divisors is an integer number (123039000).

Almost surely, 2^57401416800 is an apocalyptic number.

57401416800 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 57401416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141740928000).

57401416800 is an abundant number, since it is smaller than the sum of its proper divisors (226080439200).

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

57401416800 is a wasteful number, since it uses less digits than its factorization.

57401416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 57401416800 in words is "fifty-seven billion, four hundred one million, four hundred sixteen thousand, eight hundred".