2817715716816 has 720 divisors, whose sum is σ = 10437782653440. Its totient is φ = 646180254720.

The previous prime is 2817715716773. The next prime is 2817715716817. The reversal of 2817715716816 is 6186175177182.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2817715716816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2817715716817) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100550455 + ... + 100578473.

It is an arithmetic number, because the mean of its divisors is an integer number (14496920352).

Almost surely, 2^{2817715716816} is an apocalyptic number.

2817715716816 is a gapful number since it is divisible by the number (26) 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 2817715716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5218891326720).

2817715716816 is an abundant number, since it is smaller than the sum of its proper divisors (7620066936624).

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

2817715716816 is a wasteful number, since it uses less digits than its factorization.

2817715716816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28104 (or 28078 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 60.

The spelling of 2817715716816 in words is "two trillion, eight hundred seventeen billion, seven hundred fifteen million, seven hundred sixteen thousand, eight hundred sixteen".