10057512960 has 384 divisors, whose sum is σ = 39013228800. Its totient is φ = 2437447680.

The previous prime is 10057512937. The next prime is 10057512967. The reversal of 10057512960 is 6921575001.

10057512960 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 512 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057512967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039627 + ... + 3042933.

It is an arithmetic number, because the mean of its divisors is an integer number (101596950).

Almost surely, 2^10057512960 is an apocalyptic number.

10057512960 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 10057512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19506614400).

10057512960 is an abundant number, since it is smaller than the sum of its proper divisors (28955715840).

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

10057512960 is a wasteful number, since it uses less digits than its factorization.

10057512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10057512960 in words is "ten billion, fifty-seven million, five hundred twelve thousand, nine hundred sixty".