11679942962688 has 960 divisors, whose sum is σ = 42654587931648. Its totient is φ = 2791810990080.

The previous prime is 11679942962659. The next prime is 11679942962711. The reversal of 11679942962688 is 88626924997611.

It is a super-2 number, since 2×11679942962688² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3949928506 + ... + 3949931462.

Almost surely, 2^{11679942962688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11679942962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21327293965824).

11679942962688 is an abundant number, since it is smaller than the sum of its proper divisors (30974644968960).

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

11679942962688 is a wasteful number, since it uses less digits than its factorization.

11679942962688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3360 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 78.

The spelling of 11679942962688 in words is "eleven trillion, six hundred seventy-nine billion, nine hundred forty-two million, nine hundred sixty-two thousand, six hundred eighty-eight".