11292675288 has 128 divisors (see below), whose sum is σ = 29652480000. Its totient is φ = 3579586560.

The previous prime is 11292675269. The next prime is 11292675311. The reversal of 11292675288 is 88257629211.

It is a Cunningham number, because it is equal to 106267²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 11292675288.

It is a congruent number.

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, 13176556 + ... + 13177412.

It is an arithmetic number, because the mean of its divisors is an integer number (231660000).

Almost surely, 2^11292675288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11292675288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826240000).

11292675288 is an abundant number, since it is smaller than the sum of its proper divisors (18359804712).

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

11292675288 is a wasteful number, since it uses less digits than its factorization.

11292675288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1181 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The spelling of 11292675288 in words is "eleven billion, two hundred ninety-two million, six hundred seventy-five thousand, two hundred eighty-eight".