12759219990 has 96 divisors (see below), whose sum is σ = 36216494496. Its totient is φ = 3090862080.

The previous prime is 12759219983. The next prime is 12759220013. The reversal of 12759219990 is 9991295721.

12759219990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1616694 + ... + 1624566.

It is an arithmetic number, because the mean of its divisors is an integer number (377255151).

Almost surely, 2^12759219990 is an apocalyptic number.

12759219990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12759219990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108247248).

12759219990 is an abundant number, since it is smaller than the sum of its proper divisors (23457274506).

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

12759219990 is a wasteful number, since it uses less digits than its factorization.

12759219990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9531 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 12759219990 in words is "twelve billion, seven hundred fifty-nine million, two hundred nineteen thousand, nine hundred ninety".