57613538304 has 792 divisors, whose sum is σ = 212038413120. Its totient is φ = 15379144704.

The previous prime is 57613538251. The next prime is 57613538317. The reversal of 57613538304 is 40383531675.

57613538304 is a `hidden beast` number, since 5 + 76 + 13 + 538 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57613538304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339849707 + ... + 1339849749.

Almost surely, 2^57613538304 is an apocalyptic number.

57613538304 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 57613538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106019206560).

57613538304 is an abundant number, since it is smaller than the sum of its proper divisors (154424874816).

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

57613538304 is a wasteful number, since it uses less digits than its factorization.

57613538304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 57613538304 in words is "fifty-seven billion, six hundred thirteen million, five hundred thirty-eight thousand, three hundred four".