57845434920 has 288 divisors, whose sum is σ = 218595373920. Its totient is φ = 12204541440.

The previous prime is 57845434909. The next prime is 57845434949. The reversal of 57845434920 is 2943454875.

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, 964615 + ... + 1022825.

It is an arithmetic number, because the mean of its divisors is an integer number (759011715).

Almost surely, 2^57845434920 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 57845434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109297686960).

57845434920 is an abundant number, since it is smaller than the sum of its proper divisors (160749939000).

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

57845434920 is a wasteful number, since it uses less digits than its factorization.

57845434920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58265 (or 58241 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 57845434920 in words is "fifty-seven billion, eight hundred forty-five million, four hundred thirty-four thousand, nine hundred twenty".