57134441256 has 64 divisors (see below), whose sum is σ = 147281561280. Its totient is φ = 18456192000.

The previous prime is 57134441251. The next prime is 57134441281. The reversal of 57134441256 is 65214443175.

57134441256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57134441251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94720 + ... + 351056.

It is an arithmetic number, because the mean of its divisors is an integer number (2301274395).

Almost surely, 2^57134441256 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 57134441256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73640780640).

57134441256 is an abundant number, since it is smaller than the sum of its proper divisors (90147120024).

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

57134441256 is a wasteful number, since it uses less digits than its factorization.

57134441256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256634 (or 256630 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 57134441256 in words is "fifty-seven billion, one hundred thirty-four million, four hundred forty-one thousand, two hundred fifty-six".