57316492800 has 1440 divisors, whose sum is σ = 257176700352. Its totient is φ = 11890851840.

The previous prime is 57316492787. The next prime is 57316492819. The reversal of 57316492800 is 829461375.

57316492800 is a `hidden beast` number, since 5 + 73 + 16 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 507225544 + ... + 507225656.

It is a 1-persistent number, because it is pandigital, but 2⋅57316492800 = 114632985600 is not.

Almost surely, 2^57316492800 is an apocalyptic number.

57316492800 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 57316492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128588350176).

57316492800 is an abundant number, since it is smaller than the sum of its proper divisors (199860207552).

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

57316492800 is a wasteful number, since it uses less digits than its factorization.

57316492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 57316492800 in words is "fifty-seven billion, three hundred sixteen million, four hundred ninety-two thousand, eight hundred".