57830105984 has 64 divisors (see below), whose sum is σ = 132356505600. Its totient is φ = 24654497280.

The previous prime is 57830105947. The next prime is 57830106001. The reversal of 57830105984 is 48950103875.

57830105984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2177 + ... + 340095.

It is an arithmetic number, because the mean of its divisors is an integer number (2068070400).

Almost surely, 2^57830105984 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 57830105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66178252800).

57830105984 is an abundant number, since it is smaller than the sum of its proper divisors (74526399616).

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

57830105984 is a wasteful number, since it uses less digits than its factorization.

57830105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338131 (or 338119 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 50.

The spelling of 57830105984 in words is "fifty-seven billion, eight hundred thirty million, one hundred five thousand, nine hundred eighty-four".