1109796879672 has 512 divisors, whose sum is σ = 3561062400000. Its totient is φ = 317408232960.

The previous prime is 1109796879643. The next prime is 1109796879683. The reversal of 1109796879672 is 2769786979011.

It is a super-2 number, since 2×1109796879672² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1109796879672.

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 127 ways as a sum of consecutive naturals, for example, 754449897 + ... + 754451367.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200000).

Almost surely, 2^{1109796879672} is an apocalyptic number.

1109796879672 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 1109796879672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780531200000).

1109796879672 is an abundant number, since it is smaller than the sum of its proper divisors (2451265520328).

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

1109796879672 is a wasteful number, since it uses less digits than its factorization.

1109796879672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 72.

The spelling of 1109796879672 in words is "one trillion, one hundred nine billion, seven hundred ninety-six million, eight hundred seventy-nine thousand, six hundred seventy-two".