10980256320 has 588 divisors, whose sum is σ = 43200759420. Its totient is φ = 2655037440.

The previous prime is 10980256319. The next prime is 10980256337. The reversal of 10980256320 is 2365208901.

10980256320 is a `hidden beast` number, since 1 + 0 + 9 + 80 + 256 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3251736576 + 7728519744 = 57024^2 + 87912^2 .

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 83 ways as a sum of consecutive naturals, for example, 28226686 + ... + 28227074.

Almost surely, 2^10980256320 is an apocalyptic number.

10980256320 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 10980256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600379710).

10980256320 is an abundant number, since it is smaller than the sum of its proper divisors (32220503100).

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

10980256320 is an equidigital number, since it uses as much as digits as its factorization.

10980256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10980256320 in words is "ten billion, nine hundred eighty million, two hundred fifty-six thousand, three hundred twenty".