10057652120 has 64 divisors (see below), whose sum is σ = 23035622400. Its totient is φ = 3951034240.

The previous prime is 10057652107. The next prime is 10057652167. The reversal of 10057652120 is 2125675001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4556057 + ... + 4558263.

It is an arithmetic number, because the mean of its divisors is an integer number (359931600).

Almost surely, 2^10057652120 is an apocalyptic number.

10057652120 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 10057652120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11517811200).

10057652120 is an abundant number, since it is smaller than the sum of its proper divisors (12977970280).

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

10057652120 is a wasteful number, since it uses less digits than its factorization.

10057652120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The spelling of 10057652120 in words is "ten billion, fifty-seven million, six hundred fifty-two thousand, one hundred twenty".