2560892958096 has 160 divisors (see below), whose sum is σ = 7405592261760. Its totient is φ = 755820134400.

The previous prime is 2560892958061. The next prime is 2560892958101. The reversal of 2560892958096 is 6908592980652.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2560892958096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12737520 + ... + 12937008.

It is an arithmetic number, because the mean of its divisors is an integer number (46284951636).

Almost surely, 2^{2560892958096} 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 2560892958096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702796130880).

2560892958096 is an abundant number, since it is smaller than the sum of its proper divisors (4844699303664).

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

2560892958096 is a wasteful number, since it uses less digits than its factorization.

2560892958096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200145 (or 200139 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 69.

The spelling of 2560892958096 in words is "two trillion, five hundred sixty billion, eight hundred ninety-two million, nine hundred fifty-eight thousand, ninety-six".