10980662976360 has 768 divisors, whose sum is σ = 45003615621120. Its totient is φ = 2255662080000.

The previous prime is 10980662976359. The next prime is 10980662976383. The reversal of 10980662976360 is 6367926608901.

10980662976360 is a `hidden beast` number, since 109 + 80 + 6 + 6 + 2 + 97 + 6 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 883180704 + ... + 883193136.

It is an arithmetic number, because the mean of its divisors is an integer number (58598457840).

Almost surely, 2^{10980662976360} is an apocalyptic number.

10980662976360 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 10980662976360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22501807810560).

10980662976360 is an abundant number, since it is smaller than the sum of its proper divisors (34022952644760).

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

10980662976360 is a wasteful number, since it uses less digits than its factorization.

10980662976360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 10980662976360 in words is "ten trillion, nine hundred eighty billion, six hundred sixty-two million, nine hundred seventy-six thousand, three hundred sixty".