57996538344640 has 336 divisors, whose sum is σ = 176459763513600. Its totient is φ = 18018928908288.

The previous prime is 57996538344607. The next prime is 57996538344653. The reversal of 57996538344640 is 4644383569975.

It is a super-2 number, since 2×57996538344640² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2620171 + ... + 11084149.

It is an arithmetic number, because the mean of its divisors is an integer number (525177867600).

Almost surely, 2^{57996538344640} 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 57996538344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88229881756800).

57996538344640 is an abundant number, since it is smaller than the sum of its proper divisors (118463225168960).

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

57996538344640 is a wasteful number, since it uses less digits than its factorization.

57996538344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8464052 (or 8464035 counting only the distinct ones).

The product of its (nonzero) digits is 2351462400, while the sum is 73.

The spelling of 57996538344640 in words is "fifty-seven trillion, nine hundred ninety-six billion, five hundred thirty-eight million, three hundred forty-four thousand, six hundred forty".