10879054272 has 140 divisors (see below), whose sum is σ = 32778548616. Its totient is φ = 3566799360.

The previous prime is 10879054259. The next prime is 10879054279. The reversal of 10879054272 is 27245097801.

It is a happy number.

10879054272 is a `hidden beast` number, since 10 + 8 + 7 + 90 + 542 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879054279) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 299023 + ... + 333425.

Almost surely, 2^10879054272 is an apocalyptic number.

10879054272 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 10879054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389274308).

10879054272 is an abundant number, since it is smaller than the sum of its proper divisors (21899494344).

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

10879054272 is an equidigital number, since it uses as much as digits as its factorization.

10879054272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34488 (or 34469 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10879054272 in words is "ten billion, eight hundred seventy-nine million, fifty-four thousand, two hundred seventy-two".