2585387811072 has 576 divisors, whose sum is σ = 8106013440000. Its totient is φ = 723256934400.

The previous prime is 2585387811043. The next prime is 2585387811109. The reversal of 2585387811072 is 2701187835852.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 1014274054 + ... + 1014276602.

It is an arithmetic number, because the mean of its divisors is an integer number (14072940000).

Almost surely, 2^{2585387811072} is an apocalyptic number.

2585387811072 is a gapful number since it is divisible by the number (22) 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 2585387811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053006720000).

2585387811072 is an abundant number, since it is smaller than the sum of its proper divisors (5520625628928).

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

2585387811072 is a wasteful number, since it uses less digits than its factorization.

2585387811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 2585387811072 in words is "two trillion, five hundred eighty-five billion, three hundred eighty-seven million, eight hundred eleven thousand, seventy-two".