10949720832 has 144 divisors (see below), whose sum is σ = 32570976480. Its totient is φ = 3628412928.

The previous prime is 10949720827. The next prime is 10949720857. The reversal of 10949720832 is 23802794901.

10949720832 is a `hidden beast` number, since 109 + 497 + 20 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191198 + ... + 1200354.

Almost surely, 2^10949720832 is an apocalyptic number.

10949720832 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 10949720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285488240).

10949720832 is an abundant number, since it is smaller than the sum of its proper divisors (21621255648).

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

10949720832 is an equidigital number, since it uses as much as digits as its factorization.

10949720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9355 (or 9335 counting only the distinct ones).

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

The spelling of 10949720832 in words is "ten billion, nine hundred forty-nine million, seven hundred twenty thousand, eight hundred thirty-two".