2859317169072 has 320 divisors, whose sum is σ = 9538296176640. Its totient is φ = 717813964800.

The previous prime is 2859317169029. The next prime is 2859317169091. The reversal of 2859317169072 is 2709617139582.

It is a happy number.

2859317169072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2859317168997 and 2859317169015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8086804 + ... + 8432972.

It is an arithmetic number, because the mean of its divisors is an integer number (29807175552).

Almost surely, 2^{2859317169072} 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 2859317169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769148088320).

2859317169072 is an abundant number, since it is smaller than the sum of its proper divisors (6678979007568).

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

2859317169072 is a wasteful number, since it uses less digits than its factorization.

2859317169072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346292 (or 346286 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 2859317169072 in words is "two trillion, eight hundred fifty-nine billion, three hundred seventeen million, one hundred sixty-nine thousand, seventy-two".