1107807918672 has 640 divisors, whose sum is σ = 3749520015360. Its totient is φ = 274046976000.

The previous prime is 1107807918589. The next prime is 1107807918697. The reversal of 1107807918672 is 2768197087011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 586451104 + ... + 586452992.

It is an arithmetic number, because the mean of its divisors is an integer number (5858625024).

Almost surely, 2^{1107807918672} is an apocalyptic number.

1107807918672 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 1107807918672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874760007680).

1107807918672 is an abundant number, since it is smaller than the sum of its proper divisors (2641712096688).

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

1107807918672 is a wasteful number, since it uses less digits than its factorization.

1107807918672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 57.

The spelling of 1107807918672 in words is "one trillion, one hundred seven billion, eight hundred seven million, nine hundred eighteen thousand, six hundred seventy-two".