57824629984 has 72 divisors (see below), whose sum is σ = 125653629024. Its totient is φ = 26174438400.

The previous prime is 57824629937. The next prime is 57824629997. The reversal of 57824629984 is 48992642875.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 902169 + ... + 964135.

It is an arithmetic number, because the mean of its divisors is an integer number (1745189292).

Almost surely, 2^57824629984 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 57824629984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62826814512).

57824629984 is an abundant number, since it is smaller than the sum of its proper divisors (67828999040).

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

57824629984 is a wasteful number, since it uses less digits than its factorization.

57824629984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62240 (or 62221 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The spelling of 57824629984 in words is "fifty-seven billion, eight hundred twenty-four million, six hundred twenty-nine thousand, nine hundred eighty-four".