2585468412912 has 320 divisors, whose sum is σ = 8513026560000. Its totient is φ = 670296856320.

The previous prime is 2585468412883. The next prime is 2585468412937. The reversal of 2585468412912 is 2192148645852.

It is a super-2 number, since 2×2585468412912² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 99050839 + ... + 99076937.

It is an arithmetic number, because the mean of its divisors is an integer number (26603208000).

Almost surely, 2^{2585468412912} is an apocalyptic number.

2585468412912 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 2585468412912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256513280000).

2585468412912 is an abundant number, since it is smaller than the sum of its proper divisors (5927558147088).

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

2585468412912 is a wasteful number, since it uses less digits than its factorization.

2585468412912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26689 (or 26669 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 57.

The spelling of 2585468412912 in words is "two trillion, five hundred eighty-five billion, four hundred sixty-eight million, four hundred twelve thousand, nine hundred twelve".