2585008403760 has 320 divisors, whose sum is σ = 8189473554432. Its totient is φ = 674420318208.

The previous prime is 2585008403743. The next prime is 2585008403771. The reversal of 2585008403760 is 673048005852.

2585008403760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655592349 + ... + 655596291.

Almost surely, 2^{2585008403760} is an apocalyptic number.

2585008403760 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 2585008403760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094736777216).

2585008403760 is an abundant number, since it is smaller than the sum of its proper divisors (5604465150672).

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

2585008403760 is a wasteful number, since it uses less digits than its factorization.

2585008403760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 2585008403760 in words is "two trillion, five hundred eighty-five billion, eight million, four hundred three thousand, seven hundred sixty".