11242564320 has 192 divisors, whose sum is σ = 38241854784. Its totient is φ = 2759884800.

The previous prime is 11242564303. The next prime is 11242564331. The reversal of 11242564320 is 2346524211.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2499994 + ... + 2504486.

It is an arithmetic number, because the mean of its divisors is an integer number (199176327).

Almost surely, 2^11242564320 is an apocalyptic number.

11242564320 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 11242564320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120927392).

11242564320 is an abundant number, since it is smaller than the sum of its proper divisors (26999290464).

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

11242564320 is a wasteful number, since it uses less digits than its factorization.

11242564320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 11242564320 in words is "eleven billion, two hundred forty-two million, five hundred sixty-four thousand, three hundred twenty".