57167984640 has 384 divisors, whose sum is σ = 198082946880. Its totient is φ = 13992198144.

The previous prime is 57167984633. The next prime is 57167984663. The reversal of 57167984640 is 4648976175.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102635242 + ... + 102635798.

Almost surely, 2^57167984640 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 57167984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99041473440).

57167984640 is an abundant number, since it is smaller than the sum of its proper divisors (140914962240).

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

57167984640 is a wasteful number, since it uses less digits than its factorization.

57167984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 57167984640 in words is "fifty-seven billion, one hundred sixty-seven million, nine hundred eighty-four thousand, six hundred forty".