3259086085200 has 960 divisors, whose sum is σ = 12233411297280. Its totient is φ = 733888512000.

The previous prime is 3259086085147. The next prime is 3259086085223. The reversal of 3259086085200 is 25806809523.

It is a super-2 number, since 2×3259086085200² (a number of 26 digits) contains 22 as substring.

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 3259086085200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2290291689 + ... + 2290293111.

It is an arithmetic number, because the mean of its divisors is an integer number (12743136768).

Almost surely, 2^{3259086085200} is an apocalyptic number.

3259086085200 is a gapful number since it is divisible by the number (30) 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 3259086085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116705648640).

3259086085200 is an abundant number, since it is smaller than the sum of its proper divisors (8974325212080).

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

3259086085200 is a wasteful number, since it uses less digits than its factorization.

3259086085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 3259086085200 in words is "three trillion, two hundred fifty-nine billion, eighty-six million, eighty-five thousand, two hundred".