57385774080 has 352 divisors, whose sum is σ = 204576852480. Its totient is φ = 15255060480.

The previous prime is 57385774021. The next prime is 57385774087. The reversal of 57385774080 is 8047758375.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57385774087) 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, 78934677 + ... + 78935403.

It is an arithmetic number, because the mean of its divisors is an integer number (581184240).

Almost surely, 2^57385774080 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 57385774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102288426240).

57385774080 is an abundant number, since it is smaller than the sum of its proper divisors (147191078400).

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

57385774080 is a wasteful number, since it uses less digits than its factorization.

57385774080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 57385774080 in words is "fifty-seven billion, three hundred eighty-five million, seven hundred seventy-four thousand, eighty".