2586809794560 has 272 divisors, whose sum is σ = 8314598984640. Its totient is φ = 686743879680.

The previous prime is 2586809794531. The next prime is 2586809794607. The reversal of 2586809794560 is 654979086852.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225110415 + ... + 225121905.

It is an arithmetic number, because the mean of its divisors is an integer number (30568378620).

Almost surely, 2^{2586809794560} is an apocalyptic number.

2586809794560 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 2586809794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157299492320).

2586809794560 is an abundant number, since it is smaller than the sum of its proper divisors (5727789190080).

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

2586809794560 is an equidigital number, since it uses as much as digits as its factorization.

2586809794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 2586809794560 in words is "two trillion, five hundred eighty-six billion, eight hundred nine million, seven hundred ninety-four thousand, five hundred sixty".