11694696583680 has 960 divisors, whose sum is σ = 45468025574400. Its totient is φ = 2752997621760.

The previous prime is 11694696583679. The next prime is 11694696583721. The reversal of 11694696583680 is 8638569649611.

11694696583680 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 469 + 6 + 5 + 83 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11694696583599 and 11694696583608.

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, 6648490641 + ... + 6648492399.

It is an arithmetic number, because the mean of its divisors is an integer number (47362526640).

Almost surely, 2^{11694696583680} is an apocalyptic number.

11694696583680 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 11694696583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734012787200).

11694696583680 is an abundant number, since it is smaller than the sum of its proper divisors (33773328990720).

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

11694696583680 is a wasteful number, since it uses less digits than its factorization.

11694696583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 11694696583680 in words is "eleven trillion, six hundred ninety-four billion, six hundred ninety-six million, five hundred eighty-three thousand, six hundred eighty".