2585587880160 has 384 divisors, whose sum is σ = 9682030310400. Its totient is φ = 642491688960.

The previous prime is 2585587880137. The next prime is 2585587880167. The reversal of 2585587880160 is 610887855852.

2585587880160 is a `hidden beast` number, since 2 + 5 + 8 + 558 + 78 + 8 + 0 + 1 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585587880167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4748677 + ... + 5265083.

It is an arithmetic number, because the mean of its divisors is an integer number (25213620600).

Almost surely, 2^{2585587880160} is an apocalyptic number.

2585587880160 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 2585587880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841015155200).

2585587880160 is an abundant number, since it is smaller than the sum of its proper divisors (7096442430240).

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

2585587880160 is a wasteful number, since it uses less digits than its factorization.

2585587880160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516511 (or 516497 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 2585587880160 in words is "two trillion, five hundred eighty-five billion, five hundred eighty-seven million, eight hundred eighty thousand, one hundred sixty".