10980264960 has 528 divisors, whose sum is σ = 45420801120. Its totient is φ = 2508226560.

The previous prime is 10980264937. The next prime is 10980265013. The reversal of 10980264960 is 6946208901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6772950 + ... + 6774570.

Almost surely, 2^10980264960 is an apocalyptic number.

10980264960 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 10980264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22710400560).

10980264960 is an abundant number, since it is smaller than the sum of its proper divisors (34440536160).

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

10980264960 is a wasteful number, since it uses less digits than its factorization.

10980264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10980264960 in words is "ten billion, nine hundred eighty million, two hundred sixty-four thousand, nine hundred sixty".