10857893760 has 384 divisors, whose sum is σ = 43666983360. Its totient is φ = 2434498560.

The previous prime is 10857893759. The next prime is 10857893777. The reversal of 10857893760 is 6739875801.

10857893760 is a `hidden beast` number, since 1 + 0 + 8 + 578 + 9 + 3 + 7 + 60 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10857893697 and 10857893706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2134420 + ... + 2139500.

Almost surely, 2^10857893760 is an apocalyptic number.

10857893760 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 10857893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833491680).

10857893760 is an abundant number, since it is smaller than the sum of its proper divisors (32809089600).

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

10857893760 is a wasteful number, since it uses less digits than its factorization.

10857893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10857893760 in words is "ten billion, eight hundred fifty-seven million, eight hundred ninety-three thousand, seven hundred sixty".