11993458560 has 256 divisors, whose sum is σ = 41182801920. Its totient is φ = 2960179200.

The previous prime is 11993458553. The next prime is 11993458577. The reversal of 11993458560 is 6585439911.

11993458560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1364580 + ... + 1373340.

It is an arithmetic number, because the mean of its divisors is an integer number (160870320).

Almost surely, 2^11993458560 is an apocalyptic number.

11993458560 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 11993458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591400960).

11993458560 is an abundant number, since it is smaller than the sum of its proper divisors (29189343360).

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

11993458560 is a wasteful number, since it uses less digits than its factorization.

11993458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8825 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 11993458560 in words is "eleven billion, nine hundred ninety-three million, four hundred fifty-eight thousand, five hundred sixty".