11140711272 has 128 divisors (see below), whose sum is σ = 31506739200. Its totient is φ = 3646944000.

The previous prime is 11140711249. The next prime is 11140711321. The reversal of 11140711272 is 27211704111.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 2768622 + ... + 2772642.

It is an arithmetic number, because the mean of its divisors is an integer number (246146400).

Almost surely, 2^11140711272 is an apocalyptic number.

11140711272 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 11140711272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753369600).

11140711272 is an abundant number, since it is smaller than the sum of its proper divisors (20366027928).

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

11140711272 is a wasteful number, since it uses less digits than its factorization.

11140711272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The spelling of 11140711272 in words is "eleven billion, one hundred forty million, seven hundred eleven thousand, two hundred seventy-two".