11695757961216 has 480 divisors, whose sum is σ = 36458385163200. Its totient is φ = 3334062735360.

The previous prime is 11695757961161. The next prime is 11695757961221. The reversal of 11695757961216 is 61216975759611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11344090621 + ... + 11344091651.

It is an arithmetic number, because the mean of its divisors is an integer number (75954969090).

Almost surely, 2^{11695757961216} is an apocalyptic number.

11695757961216 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 11695757961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229192581600).

11695757961216 is an abundant number, since it is smaller than the sum of its proper divisors (24762627201984).

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

11695757961216 is an frugal number, since it uses more digits than its factorization.

11695757961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1812 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 66.

The spelling of 11695757961216 in words is "eleven trillion, six hundred ninety-five billion, seven hundred fifty-seven million, nine hundred sixty-one thousand, two hundred sixteen".