11250960756 has 144 divisors (see below), whose sum is σ = 32039763840. Its totient is φ = 3059669760.

The previous prime is 11250960739. The next prime is 11250960767. The reversal of 11250960756 is 65706905211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206046 + ... + 1215338.

It is an arithmetic number, because the mean of its divisors is an integer number (222498360).

Almost surely, 2^11250960756 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 11250960756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019881920).

11250960756 is an abundant number, since it is smaller than the sum of its proper divisors (20788803084).

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

11250960756 is a wasteful number, since it uses less digits than its factorization.

11250960756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9414 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 11250960756 in words is "eleven billion, two hundred fifty million, nine hundred sixty thousand, seven hundred fifty-six".