3565505280000 has 480 divisors, whose sum is σ = 11922615104400. Its totient is φ = 947257344000.

The previous prime is 3565505279977. The next prime is 3565505280017. The reversal of 3565505280000 is 825055653.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1125118416 + ... + 1125121584.

Almost surely, 2^{3565505280000} is an apocalyptic number.

3565505280000 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 3565505280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961307552200).

3565505280000 is an abundant number, since it is smaller than the sum of its proper divisors (8357109824400).

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

3565505280000 is an equidigital number, since it uses as much as digits as its factorization.

3565505280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 3565505280000 in words is "three trillion, five hundred sixty-five billion, five hundred five million, two hundred eighty thousand".