10057968576 has 168 divisors, whose sum is σ = 29475738864. Its totient is φ = 3277946880.

The previous prime is 10057968541. The next prime is 10057968617. The reversal of 10057968576 is 67586975001.

10057968576 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 7 + 9 + 68 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17431200 + ... + 17431776.

Almost surely, 2^10057968576 is an apocalyptic number.

10057968576 is a gapful number since it is divisible by the number (16) 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 10057968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737869432).

10057968576 is an abundant number, since it is smaller than the sum of its proper divisors (19417770288).

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

10057968576 is a wasteful number, since it uses less digits than its factorization.

10057968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 10057968576 in words is "ten billion, fifty-seven million, nine hundred sixty-eight thousand, five hundred seventy-six".