2586778888680 has 768 divisors, whose sum is σ = 10518090485760. Its totient is φ = 537676185600.

The previous prime is 2586778888633. The next prime is 2586778888693. The reversal of 2586778888680 is 868888776852.

It is a self number, because there is not a number n which added to its sum of digits gives 2586778888680.

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 191 ways as a sum of consecutive naturals, for example, 1164689970 + ... + 1164692190.

It is an arithmetic number, because the mean of its divisors is an integer number (13695430320).

Almost surely, 2^{2586778888680} is an apocalyptic number.

2586778888680 is a gapful number since it is divisible by the number (20) 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 2586778888680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259045242880).

2586778888680 is an abundant number, since it is smaller than the sum of its proper divisors (7931311597080).

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

2586778888680 is a wasteful number, since it uses less digits than its factorization.

2586778888680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 4624220160, while the sum is 81.

The spelling of 2586778888680 in words is "two trillion, five hundred eighty-six billion, seven hundred seventy-eight million, eight hundred eighty-eight thousand, six hundred eighty".