7869504090112 has 312 divisors, whose sum is σ = 19147596134400. Its totient is φ = 3218368462848.

The previous prime is 7869504090037. The next prime is 7869504090199. The reversal of 7869504090112 is 2110904059687.

It is a self number, because there is not a number n which added to its sum of digits gives 7869504090112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211154189 + ... + 2211157747.

Almost surely, 2^{7869504090112} 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 7869504090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9573798067200).

7869504090112 is an abundant number, since it is smaller than the sum of its proper divisors (11278092044288).

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

7869504090112 is a wasteful number, since it uses less digits than its factorization.

7869504090112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 7869504090112 in words is "seven trillion, eight hundred sixty-nine billion, five hundred four million, ninety thousand, one hundred twelve".