11719080576 has 192 divisors, whose sum is σ = 38671888320. Its totient is φ = 3336892416.

The previous prime is 11719080563. The next prime is 11719080599. The reversal of 11719080576 is 67508091711.

11719080576 is a `hidden beast` number, since 1 + 1 + 71 + 9 + 0 + 8 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2521711 + ... + 2526353.

It is an arithmetic number, because the mean of its divisors is an integer number (201416085).

Almost surely, 2^11719080576 is an apocalyptic number.

11719080576 is a gapful number since it is divisible by the number (16) 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 11719080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19335944160).

11719080576 is an abundant number, since it is smaller than the sum of its proper divisors (26952807744).

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

11719080576 is a wasteful number, since it uses less digits than its factorization.

11719080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 11719080576 in words is "eleven billion, seven hundred nineteen million, eighty thousand, five hundred seventy-six".