57456275616 has 360 divisors, whose sum is σ = 178128196092. Its totient is φ = 18150912000.

The previous prime is 57456275543. The next prime is 57456275629. The reversal of 57456275616 is 61657265475.

It is a happy number.

57456275616 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 627 + 5 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 50059587600 + 7396688016 = 223740^2 + 86004^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10584000) is a multiple of the sum of its prime divisors (200).

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 59 ways as a sum of consecutive naturals, for example, 568873966 + ... + 568874066.

Almost surely, 2^57456275616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57456275616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89064098046).

57456275616 is an abundant number, since it is smaller than the sum of its proper divisors (120671920476).

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

57456275616 is a wasteful number, since it uses less digits than its factorization.

57456275616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 200 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The spelling of 57456275616 in words is "fifty-seven billion, four hundred fifty-six million, two hundred seventy-five thousand, six hundred sixteen".