10057601824 has 96 divisors (see below), whose sum is σ = 20782137600. Its totient is φ = 4785285120.

The previous prime is 10057601821. The next prime is 10057601857. The reversal of 10057601824 is 42810675001.

10057601824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10057601824.

It is not an unprimeable number, because it can be changed into a prime (10057601821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30385339 + ... + 30385669.

It is an arithmetic number, because the mean of its divisors is an integer number (216480600).

Almost surely, 2^10057601824 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 10057601824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10391068800).

10057601824 is an abundant number, since it is smaller than the sum of its proper divisors (10724535776).

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

10057601824 is a wasteful number, since it uses less digits than its factorization.

10057601824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10057601824 in words is "ten billion, fifty-seven million, six hundred one thousand, eight hundred twenty-four".