57982058064 has 160 divisors (see below), whose sum is σ = 192811984640. Its totient is φ = 16339304448.

The previous prime is 57982058063. The next prime is 57982058107. The reversal of 57982058064 is 46085028975.

57982058064 is a `hidden beast` number, since 57 + 9 + 8 + 2 + 0 + 580 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57982058064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57982058063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89424 + ... + 352080.

It is an arithmetic number, because the mean of its divisors is an integer number (1205074904).

Almost surely, 2^57982058064 is an apocalyptic number.

57982058064 is a gapful number since it is divisible by the number (54) 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 57982058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96405992320).

57982058064 is an abundant number, since it is smaller than the sum of its proper divisors (134829926576).

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

57982058064 is a wasteful number, since it uses less digits than its factorization.

57982058064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262754 (or 262742 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 57982058064 in words is "fifty-seven billion, nine hundred eighty-two million, fifty-eight thousand, sixty-four".