11317579693056 has 792 divisors, whose sum is σ = 41020511195664. Its totient is φ = 2978906112000.

The previous prime is 11317579693037. The next prime is 11317579693087. The reversal of 11317579693056 is 65039697571311.

11317579693056 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 7 + 579 + 6 + 9 + 3 + 0 + 56 = 666.

It is a super-2 number, since 2×11317579693056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 11317579692984 and 11317579693002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3481259431 + ... + 3481262681.

It is an arithmetic number, because the mean of its divisors is an integer number (51793574742).

Almost surely, 2^{11317579693056} is an apocalyptic number.

11317579693056 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 11317579693056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510255597832).

11317579693056 is an abundant number, since it is smaller than the sum of its proper divisors (29702931502608).

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

11317579693056 is a wasteful number, since it uses less digits than its factorization.

11317579693056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 32148900, while the sum is 63.

The spelling of 11317579693056 in words is "eleven trillion, three hundred seventeen billion, five hundred seventy-nine million, six hundred ninety-three thousand, fifty-six".