10680800256 has 264 divisors, whose sum is σ = 37323524160. Its totient is φ = 2871853056.

The previous prime is 10680800189. The next prime is 10680800257. The reversal of 10680800256 is 65200808601.

It is a happy number.

It is a super-2 number, since 2×10680800256² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10680800256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680800257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1091835 + ... + 1101573.

Almost surely, 2^10680800256 is an apocalyptic number.

10680800256 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 10680800256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661762080).

10680800256 is an abundant number, since it is smaller than the sum of its proper divisors (26642723904).

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

10680800256 is a wasteful number, since it uses less digits than its factorization.

10680800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9789 (or 9768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10680800256 in words is "ten billion, six hundred eighty million, eight hundred thousand, two hundred fifty-six".