11265828720 has 160 divisors (see below), whose sum is σ = 36533376000. Its totient is φ = 2866440192.

The previous prime is 11265828713. The next prime is 11265828781. The reversal of 11265828720 is 2782856211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420956 + ... + 2425604.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 2^11265828720 is an apocalyptic number.

11265828720 is a gapful number since it is divisible by the number (10) 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 11265828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688000).

11265828720 is an abundant number, since it is smaller than the sum of its proper divisors (25267547280).

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

11265828720 is a wasteful number, since it uses less digits than its factorization.

11265828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11265828720 in words is "eleven billion, two hundred sixty-five million, eight hundred twenty-eight thousand, seven hundred twenty".