10857805056 has 720 divisors, whose sum is σ = 40521564160. Its totient is φ = 2821754880.

The previous prime is 10857805051. The next prime is 10857805069. The reversal of 10857805056 is 65050875801.

10857805056 is a `hidden beast` number, since 10 + 8 + 57 + 80 + 505 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10857805051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85494465 + ... + 85494591.

Almost surely, 2^10857805056 is an apocalyptic number.

10857805056 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 10857805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260782080).

10857805056 is an abundant number, since it is smaller than the sum of its proper divisors (29663759104).

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

10857805056 is a wasteful number, since it uses less digits than its factorization.

10857805056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 10857805056 in words is "ten billion, eight hundred fifty-seven million, eight hundred five thousand, fifty-six".