57034358688 has 192 divisors, whose sum is σ = 159183360000. Its totient is φ = 17830471680.

The previous prime is 57034358687. The next prime is 57034358779. The reversal of 57034358688 is 88685343075.

57034358688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (57034358681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114297063 + ... + 114297561.

It is an arithmetic number, because the mean of its divisors is an integer number (829080000).

Almost surely, 2^57034358688 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 57034358688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79591680000).

57034358688 is an abundant number, since it is smaller than the sum of its proper divisors (102149001312).

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

57034358688 is a wasteful number, since it uses less digits than its factorization.

57034358688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 57034358688 in words is "fifty-seven billion, thirty-four million, three hundred fifty-eight thousand, six hundred eighty-eight".