57087586080 has 768 divisors, whose sum is σ = 240023347200. Its totient is φ = 12390174720.

The previous prime is 57087586063. The next prime is 57087586081. The reversal of 57087586080 is 8068578075.

It is a happy number.

57087586080 is a `hidden beast` number, since 57 + 0 + 8 + 7 + 586 + 0 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (57087586081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146754526 + ... + 146754914.

It is an arithmetic number, because the mean of its divisors is an integer number (312530400).

Almost surely, 2^57087586080 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 57087586080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120011673600).

57087586080 is an abundant number, since it is smaller than the sum of its proper divisors (182935761120).

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

57087586080 is a wasteful number, since it uses less digits than its factorization.

57087586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 57087586080 in words is "fifty-seven billion, eighty-seven million, five hundred eighty-six thousand, eighty".