10856007360 has 672 divisors, whose sum is σ = 43547092992. Its totient is φ = 2456002560.

The previous prime is 10856007359. The next prime is 10856007377. The reversal of 10856007360 is 6370065801.

10856007360 is a `hidden beast` number, since 10 + 8 + 5 + 600 + 7 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34245922 + ... + 34246238.

Almost surely, 2^10856007360 is an apocalyptic number.

10856007360 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 10856007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21773546496).

10856007360 is an abundant number, since it is smaller than the sum of its proper divisors (32691085632).

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

10856007360 is a wasteful number, since it uses less digits than its factorization.

10856007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10856007360 in words is "ten billion, eight hundred fifty-six million, seven thousand, three hundred sixty".