57954311940564 has 432 divisors, whose sum is σ = 167062681880640. Its totient is φ = 16836072422400.

The previous prime is 57954311940563. The next prime is 57954311940583. The reversal of 57954311940564 is 46504911345975.

57954311940564 is a `hidden beast` number, since 5 + 7 + 9 + 5 + 431 + 194 + 0 + 5 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57954311940563) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15049157239 + ... + 15049161089.

It is an arithmetic number, because the mean of its divisors is an integer number (386719171020).

Almost surely, 2^{57954311940564} 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 57954311940564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83531340940320).

57954311940564 is an abundant number, since it is smaller than the sum of its proper divisors (109108369940076).

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

57954311940564 is a wasteful number, since it uses less digits than its factorization.

57954311940564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 57954311940564 in words is "fifty-seven trillion, nine hundred fifty-four billion, three hundred eleven million, nine hundred forty thousand, five hundred sixty-four".