10978272960 has 224 divisors, whose sum is σ = 37684496640. Its totient is φ = 2698334208.

The previous prime is 10978272919. The next prime is 10978272983. The reversal of 10978272960 is 6927287901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666747 + ... + 683013.

It is an arithmetic number, because the mean of its divisors is an integer number (168234360).

Almost surely, 2^10978272960 is an apocalyptic number.

10978272960 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 10978272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842248320).

10978272960 is an abundant number, since it is smaller than the sum of its proper divisors (26706223680).

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

10978272960 is a wasteful number, since it uses less digits than its factorization.

10978272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 10978272960 in words is "ten billion, nine hundred seventy-eight million, two hundred seventy-two thousand, nine hundred sixty".