57001952448 has 504 divisors, whose sum is σ = 198952737984. Its totient is φ = 16133644800.

The previous prime is 57001952431. The next prime is 57001952473. The reversal of 57001952448 is 84425910075.

57001952448 is a `hidden beast` number, since 5 + 70 + 0 + 19 + 524 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99828003 + ... + 99828573.

It is an arithmetic number, because the mean of its divisors is an integer number (394747496).

Almost surely, 2^57001952448 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 57001952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99476368992).

57001952448 is an abundant number, since it is smaller than the sum of its proper divisors (141950785536).

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

57001952448 is a wasteful number, since it uses less digits than its factorization.

57001952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 57001952448 in words is "fifty-seven billion, one million, nine hundred fifty-two thousand, four hundred forty-eight".