57955682736 has 480 divisors, whose sum is σ = 204801891840. Its totient is φ = 15488299008.

The previous prime is 57955682731. The next prime is 57955682737. The reversal of 57955682736 is 63728655975.

57955682736 is a `hidden beast` number, since 5 + 7 + 9 + 556 + 8 + 2 + 73 + 6 = 666.

It is a super-2 number, since 2×57955682736² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57955682731) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105951615 + ... + 105952161.

It is an arithmetic number, because the mean of its divisors is an integer number (426670608).

Almost surely, 2^57955682736 is an apocalyptic number.

57955682736 is a gapful number since it is divisible by the number (56) 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 57955682736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102400945920).

57955682736 is an abundant number, since it is smaller than the sum of its proper divisors (146846209104).

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

57955682736 is a wasteful number, since it uses less digits than its factorization.

57955682736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 805 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 57955682736 in words is "fifty-seven billion, nine hundred fifty-five million, six hundred eighty-two thousand, seven hundred thirty-six".