57576800064 has 336 divisors, whose sum is σ = 188260329600. Its totient is φ = 15431270400.

The previous prime is 57576800063. The next prime is 57576800069. The reversal of 57576800064 is 46000867575.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 57576799986 and 57576800022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57576800063) 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 47 ways as a sum of consecutive naturals, for example, 95801364 + ... + 95801964.

It is an arithmetic number, because the mean of its divisors is an integer number (560298600).

Almost surely, 2^57576800064 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 57576800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94130164800).

57576800064 is an abundant number, since it is smaller than the sum of its proper divisors (130683529536).

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

57576800064 is a wasteful number, since it uses less digits than its factorization.

57576800064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 57576800064 in words is "fifty-seven billion, five hundred seventy-six million, eight hundred thousand, sixty-four".