2565311430064 has 80 divisors (see below), whose sum is σ = 5461675430400. Its totient is φ = 1161821726208.

The previous prime is 2565311430053. The next prime is 2565311430139. The reversal of 2565311430064 is 4600341135652.

It is a junction number, because it is equal to n+sod(n) for n = 2565311429999 and 2565311430026.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16655197 + ... + 16808515.

It is an arithmetic number, because the mean of its divisors is an integer number (68270942880).

Almost surely, 2^{2565311430064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565311430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730837715200).

2565311430064 is an abundant number, since it is smaller than the sum of its proper divisors (2896364000336).

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

2565311430064 is a wasteful number, since it uses less digits than its factorization.

2565311430064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155762 (or 155756 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 2565311430064 in words is "two trillion, five hundred sixty-five billion, three hundred eleven million, four hundred thirty thousand, sixty-four".