10980934272 has 384 divisors, whose sum is σ = 39920025600. Its totient is φ = 2814289920.

The previous prime is 10980934243. The next prime is 10980934277. The reversal of 10980934272 is 27243908901.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (10980934277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7006833 + ... + 7008399.

It is an arithmetic number, because the mean of its divisors is an integer number (103958400).

Almost surely, 2^10980934272 is an apocalyptic number.

10980934272 is a gapful number since it is divisible by the number (12) 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 10980934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960012800).

10980934272 is an abundant number, since it is smaller than the sum of its proper divisors (28939091328).

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

10980934272 is a wasteful number, since it uses less digits than its factorization.

10980934272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10980934272 in words is "ten billion, nine hundred eighty million, nine hundred thirty-four thousand, two hundred seventy-two".