11242566720 has 1120 divisors, whose sum is σ = 51408884736. Its totient is φ = 2264371200.

The previous prime is 11242566707. The next prime is 11242566721. The reversal of 11242566720 is 2766524211.

It is a happy number.

11242566720 is a `hidden beast` number, since 1 + 1 + 24 + 2 + 566 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11242566721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85821055 + ... + 85821185.

Almost surely, 2^11242566720 is an apocalyptic number.

11242566720 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 11242566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25704442368).

11242566720 is an abundant number, since it is smaller than the sum of its proper divisors (40166318016).

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

11242566720 is a wasteful number, since it uses less digits than its factorization.

11242566720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11242566720 in words is "eleven billion, two hundred forty-two million, five hundred sixty-six thousand, seven hundred twenty".