2799105981168 has 160 divisors (see below), whose sum is σ = 8532639907840. Its totient is φ = 773762077440.

The previous prime is 2799105981157. The next prime is 2799105981179. The reversal of 2799105981168 is 8611895019972.

It is an interprime number because it is at equal distance from previous prime (2799105981157) and next prime (2799105981179).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2799105981099 and 2799105981108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47040171 + ... + 47099637.

It is an arithmetic number, because the mean of its divisors is an integer number (53328999424).

Almost surely, 2^{2799105981168} is an apocalyptic number.

2799105981168 is a gapful number since it is divisible by the number (28) 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 2799105981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266319953920).

2799105981168 is an abundant number, since it is smaller than the sum of its proper divisors (5733533926672).

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

2799105981168 is a wasteful number, since it uses less digits than its factorization.

2799105981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64035 (or 64029 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 66.

The spelling of 2799105981168 in words is "two trillion, seven hundred ninety-nine billion, one hundred five million, nine hundred eighty-one thousand, one hundred sixty-eight".