11213544960 has 320 divisors, whose sum is σ = 40596240960. Its totient is φ = 2932899840.

The previous prime is 11213544949. The next prime is 11213544989. The reversal of 11213544960 is 6944531211.

It is a happy number.

11213544960 is a `hidden beast` number, since 1 + 1 + 21 + 3 + 544 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 3661830 + ... + 3664890.

It is an arithmetic number, because the mean of its divisors is an integer number (126863253).

Almost surely, 2^11213544960 is an apocalyptic number.

11213544960 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 11213544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20298120480).

11213544960 is an abundant number, since it is smaller than the sum of its proper divisors (29382696000).

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

11213544960 is an equidigital number, since it uses as much as digits as its factorization.

11213544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 11213544960 in words is "eleven billion, two hundred thirteen million, five hundred forty-four thousand, nine hundred sixty".