57442337568 has 384 divisors, whose sum is σ = 211840634880. Its totient is φ = 14708736000.

The previous prime is 57442337483. The next prime is 57442337581. The reversal of 57442337568 is 86573324475.

It is a happy number.

57442337568 is a `hidden beast` number, since 5 + 7 + 4 + 42 + 3 + 37 + 568 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4717408 + ... + 4729568.

It is an arithmetic number, because the mean of its divisors is an integer number (551668320).

Almost surely, 2^57442337568 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 57442337568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105920317440).

57442337568 is an abundant number, since it is smaller than the sum of its proper divisors (154398297312).

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

57442337568 is a wasteful number, since it uses less digits than its factorization.

57442337568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12255 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 57442337568 in words is "fifty-seven billion, four hundred forty-two million, three hundred thirty-seven thousand, five hundred sixty-eight".