2589325320000 has 560 divisors, whose sum is σ = 9322467105600. Its totient is φ = 631572480000.

The previous prime is 2589325319899. The next prime is 2589325320017. The reversal of 2589325320000 is 235239852.

It is a super-2 number, since 2×2589325320000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66100420 + ... + 66139580.

Almost surely, 2^{2589325320000} is an apocalyptic number.

2589325320000 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 2589325320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661233552800).

2589325320000 is an abundant number, since it is smaller than the sum of its proper divisors (6733141785600).

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

2589325320000 is a wasteful number, since it uses less digits than its factorization.

2589325320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39244 (or 39219 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 2589325320000 in words is "two trillion, five hundred eighty-nine billion, three hundred twenty-five million, three hundred twenty thousand".