11689279972992 has 320 divisors, whose sum is σ = 35122063838400. Its totient is φ = 3859027660800.

The previous prime is 11689279972991. The next prime is 11689279972999. The reversal of 11689279972992 is 29927997298611.

It is a happy number.

11689279972992 is a `hidden beast` number, since 116 + 89 + 279 + 9 + 72 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (11689279972991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 707618109 + ... + 707634627.

It is an arithmetic number, because the mean of its divisors is an integer number (109756449495).

Almost surely, 2^{11689279972992} is an apocalyptic number.

11689279972992 is a gapful number since it is divisible by the number (12) 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 11689279972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17561031919200).

11689279972992 is an abundant number, since it is smaller than the sum of its proper divisors (23432783865408).

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

11689279972992 is a wasteful number, since it uses less digits than its factorization.

11689279972992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197 (or 17176 counting only the distinct ones).

The product of its digits is 1111065984, while the sum is 81.

The spelling of 11689279972992 in words is "eleven trillion, six hundred eighty-nine billion, two hundred seventy-nine million, nine hundred seventy-two thousand, nine hundred ninety-two".