57014496000 has 1152 divisors, whose sum is σ = 262641899520. Its totient is φ = 11833344000.

The previous prime is 57014495947. The next prime is 57014496023. The reversal of 57014496000 is 69441075.

57014496000 is a `hidden beast` number, since 5 + 7 + 0 + 1 + 4 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66527572 + ... + 66528428.

It is an arithmetic number, because the mean of its divisors is an integer number (227987760).

Almost surely, 2^57014496000 is an apocalyptic number.

57014496000 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 57014496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131320949760).

57014496000 is an abundant number, since it is smaller than the sum of its proper divisors (205627403520).

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

57014496000 is a wasteful number, since it uses less digits than its factorization.

57014496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 57014496000 in words is "fifty-seven billion, fourteen million, four hundred ninety-six thousand".