57605675904 has 640 divisors, whose sum is σ = 202535182080. Its totient is φ = 15915294720.

The previous prime is 57605675903. The next prime is 57605675917. The reversal of 57605675904 is 40957650675.

57605675904 is a `hidden beast` number, since 5 + 76 + 0 + 567 + 5 + 9 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57605675903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439737919 + ... + 439738049.

It is an arithmetic number, because the mean of its divisors is an integer number (316461222).

Almost surely, 2^57605675904 is an apocalyptic number.

57605675904 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 57605675904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101267591040).

57605675904 is an abundant number, since it is smaller than the sum of its proper divisors (144929506176).

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

57605675904 is a wasteful number, since it uses less digits than its factorization.

57605675904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 57605675904 in words is "fifty-seven billion, six hundred five million, six hundred seventy-five thousand, nine hundred four".