11111728264 has 64 divisors (see below), whose sum is σ = 25772947200. Its totient is φ = 4373478144.

The previous prime is 11111728261. The next prime is 11111728267. The reversal of 11111728264 is 46282711111.

It is an interprime number because it is at equal distance from previous prime (11111728261) and next prime (11111728267).

It is not an unprimeable number, because it can be changed into a prime (11111728261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104677 + ... + 182155.

It is an arithmetic number, because the mean of its divisors is an integer number (402702300).

Almost surely, 2^11111728264 is an apocalyptic number.

11111728264 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 11111728264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886473600).

11111728264 is an abundant number, since it is smaller than the sum of its proper divisors (14661218936).

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

11111728264 is a wasteful number, since it uses less digits than its factorization.

11111728264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77702 (or 77698 counting only the distinct ones).

The product of its digits is 5376, while the sum is 34.

The spelling of 11111728264 in words is "eleven billion, one hundred eleven million, seven hundred twenty-eight thousand, two hundred sixty-four".