11979140992 has 128 divisors (see below), whose sum is σ = 29871475200. Its totient is φ = 4658411520.

The previous prime is 11979140969. The next prime is 11979141007. The reversal of 11979140992 is 29904197911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678517 + ... + 695947.

It is an arithmetic number, because the mean of its divisors is an integer number (233370900).

Almost surely, 2^11979140992 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 11979140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935737600).

11979140992 is an abundant number, since it is smaller than the sum of its proper divisors (17892334208).

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

11979140992 is a wasteful number, since it uses less digits than its factorization.

11979140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524 (or 17512 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 52.

The spelling of 11979140992 in words is "eleven billion, nine hundred seventy-nine million, one hundred forty thousand, nine hundred ninety-two".