11968519109617 has 8 divisors (see below), whose sum is σ = 13957456688000. Its totient is φ = 10258730665092.

The previous prime is 11968519109557. The next prime is 11968519109627. The reversal of 11968519109617 is 71690191586911.

It is a de Polignac number, because none of the positive numbers 2^k-11968519109617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11968519109627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17446820517 + ... + 17446821202.

It is an arithmetic number, because the mean of its divisors is an integer number (1744682086000).

Almost surely, 2^{11968519109617} is an apocalyptic number.

It is an amenable number.

11968519109617 is a deficient number, since it is larger than the sum of its proper divisors (1988937578383).

11968519109617 is an frugal number, since it uses more digits than its factorization.

11968519109617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34893641740 (or 34893641726 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 64.

The spelling of 11968519109617 in words is "eleven trillion, nine hundred sixty-eight billion, five hundred nineteen million, one hundred nine thousand, six hundred seventeen".