11944258560 has 528 divisors, whose sum is σ = 45207192576. Its totient is φ = 2898395136.

The previous prime is 11944258519. The next prime is 11944258577. The reversal of 11944258560 is 6585244911.

11944258560 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 4 + 2 + 585 + 60 = 666.

11944258560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76078002 + ... + 76078158.

Almost surely, 2^11944258560 is an apocalyptic number.

11944258560 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 11944258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22603596288).

11944258560 is an abundant number, since it is smaller than the sum of its proper divisors (33262934016).

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

11944258560 is a wasteful number, since it uses less digits than its factorization.

11944258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11944258560 in words is "eleven billion, nine hundred forty-four million, two hundred fifty-eight thousand, five hundred sixty".