10057795112880 has 480 divisors, whose sum is σ = 37803090536640. Its totient is φ = 2381514670080.

The previous prime is 10057795112879. The next prime is 10057795112891. The reversal of 10057795112880 is 8821159775001.

10057795112880 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 79 + 511 + 2 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55957234 + ... + 56136686.

It is an arithmetic number, because the mean of its divisors is an integer number (78756438618).

Almost surely, 2^{10057795112880} is an apocalyptic number.

10057795112880 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 10057795112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901545268320).

10057795112880 is an abundant number, since it is smaller than the sum of its proper divisors (27745295423760).

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

10057795112880 is a wasteful number, since it uses less digits than its factorization.

10057795112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179749 (or 179740 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 54.

The spelling of 10057795112880 in words is "ten trillion, fifty-seven billion, seven hundred ninety-five million, one hundred twelve thousand, eight hundred eighty".