2585812318320 has 320 divisors, whose sum is σ = 10581880144896. Its totient is φ = 505705021440.

The previous prime is 2585812318273. The next prime is 2585812318339. The reversal of 2585812318320 is 238132185852.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2585812318320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3801279 + ... + 4429598.

Almost surely, 2^{2585812318320} is an apocalyptic number.

2585812318320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2585812318320 is an abundant number, since it is smaller than the sum of its proper divisors (7996067826576).

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

2585812318320 is a wasteful number, since it uses less digits than its factorization.

2585812318320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230928 (or 8230922 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 2585812318320 in words is "two trillion, five hundred eighty-five billion, eight hundred twelve million, three hundred eighteen thousand, three hundred twenty".