11719975680 has 864 divisors, whose sum is σ = 49589729280. Its totient is φ = 2497904640.

The previous prime is 11719975667. The next prime is 11719975691. The reversal of 11719975680 is 8657991711.

11719975680 is a `hidden beast` number, since 1 + 1 + 71 + 9 + 9 + 7 + 568 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131685076 + ... + 131685164.

It is an arithmetic number, because the mean of its divisors is an integer number (57395520).

Almost surely, 2^11719975680 is an apocalyptic number.

11719975680 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 11719975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24794864640).

11719975680 is an abundant number, since it is smaller than the sum of its proper divisors (37869753600).

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

11719975680 is a wasteful number, since it uses less digits than its factorization.

11719975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 11719975680 in words is "eleven billion, seven hundred nineteen million, nine hundred seventy-five thousand, six hundred eighty".