57133505856 has 448 divisors, whose sum is σ = 192067891200. Its totient is φ = 14612742144.

The previous prime is 57133505797. The next prime is 57133505909. The reversal of 57133505856 is 65850533175.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52271646 + ... + 52272738.

Almost surely, 2^57133505856 is an apocalyptic number.

57133505856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57133505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96033945600).

57133505856 is an abundant number, since it is smaller than the sum of its proper divisors (134934385344).

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

57133505856 is a wasteful number, since it uses less digits than its factorization.

57133505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 48.

The spelling of 57133505856 in words is "fifty-seven billion, one hundred thirty-three million, five hundred five thousand, eight hundred fifty-six".