11652244560 has 240 divisors, whose sum is σ = 43005193920. Its totient is φ = 2803906560.

The previous prime is 11652244553. The next prime is 11652244609. The reversal of 11652244560 is 6544225611.

11652244560 is a `hidden beast` number, since 1 + 1 + 6 + 52 + 2 + 44 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 1079671 + ... + 1090409.

It is an arithmetic number, because the mean of its divisors is an integer number (179188308).

Almost surely, 2^11652244560 is an apocalyptic number.

11652244560 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 11652244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502596960).

11652244560 is an abundant number, since it is smaller than the sum of its proper divisors (31352949360).

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

11652244560 is a wasteful number, since it uses less digits than its factorization.

11652244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10906 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11652244560 in words is "eleven billion, six hundred fifty-two million, two hundred forty-four thousand, five hundred sixty".