10057575936708 has 288 divisors, whose sum is σ = 28450277856000. Its totient is φ = 2977175347200.

The previous prime is 10057575936697. The next prime is 10057575936713. The reversal of 10057575936708 is 80763957575001.

10057575936708 is a `hidden beast` number, since 1 + 0 + 0 + 57 + 575 + 9 + 3 + 6 + 7 + 0 + 8 = 666.

10057575936708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3942600033 + ... + 3942602583.

It is an arithmetic number, because the mean of its divisors is an integer number (98785687000).

Almost surely, 2^{10057575936708} is an apocalyptic number.

10057575936708 is a gapful number since it is divisible by the number (18) 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 10057575936708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14225138928000).

10057575936708 is an abundant number, since it is smaller than the sum of its proper divisors (18392701919292).

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

10057575936708 is a wasteful number, since it uses less digits than its factorization.

10057575936708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 55566000, while the sum is 63.

The spelling of 10057575936708 in words is "ten trillion, fifty-seven billion, five hundred seventy-five million, nine hundred thirty-six thousand, seven hundred eight".