57847480320 has 1024 divisors, whose sum is σ = 239172341760. Its totient is φ = 11626610688.

The previous prime is 57847480283. The next prime is 57847480349. The reversal of 57847480320 is 2308474875.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a self number, because there is not a number n which added to its sum of digits gives 57847480320.

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, 1345290219 + ... + 1345290261.

It is an arithmetic number, because the mean of its divisors is an integer number (233566740).

Almost surely, 2^57847480320 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 57847480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119586170880).

57847480320 is an abundant number, since it is smaller than the sum of its proper divisors (181324861440).

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

57847480320 is a wasteful number, since it uses less digits than its factorization.

57847480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 57847480320 in words is "fifty-seven billion, eight hundred forty-seven million, four hundred eighty thousand, three hundred twenty".