10947981184 has 128 divisors (see below), whose sum is σ = 26363001600. Its totient is φ = 4423901184.

The previous prime is 10947981179. The next prime is 10947981217. The reversal of 10947981184 is 48118974901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 3863032 + ... + 3865864.

It is an arithmetic number, because the mean of its divisors is an integer number (205960950).

Almost surely, 2^10947981184 is an apocalyptic number.

10947981184 is a gapful number since it is divisible by the number (14) 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 10947981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13181500800).

10947981184 is an abundant number, since it is smaller than the sum of its proper divisors (15415020416).

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

10947981184 is a wasteful number, since it uses less digits than its factorization.

10947981184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 10947981184 in words is "ten billion, nine hundred forty-seven million, nine hundred eighty-one thousand, one hundred eighty-four".