10057253120 has 144 divisors (see below), whose sum is σ = 25098619392. Its totient is φ = 3856957440.

The previous prime is 10057253111. The next prime is 10057253179. The reversal of 10057253120 is 2135275001.

It is a super-5 number, since 5×10057253120⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10057253120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4482719 + ... + 4484961.

It is an arithmetic number, because the mean of its divisors is an integer number (174295968).

Almost surely, 2^10057253120 is an apocalyptic number.

10057253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12549309696).

10057253120 is an abundant number, since it is smaller than the sum of its proper divisors (15041366272).

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

10057253120 is a wasteful number, since it uses less digits than its factorization.

10057253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The spelling of 10057253120 in words is "ten billion, fifty-seven million, two hundred fifty-three thousand, one hundred twenty".