2565430656000 has 704 divisors, whose sum is σ = 8748051601536. Its totient is φ = 667090944000.

The previous prime is 2565430655987. The next prime is 2565430656023. The reversal of 2565430656000 is 6560345652.

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, 4742015730 + ... + 4742016270.

Almost surely, 2^{2565430656000} is an apocalyptic number.

2565430656000 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 2565430656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374025800768).

2565430656000 is an abundant number, since it is smaller than the sum of its proper divisors (6182620945536).

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

2565430656000 is a wasteful number, since it uses less digits than its factorization.

2565430656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 2565430656000 in words is "two trillion, five hundred sixty-five billion, four hundred thirty million, six hundred fifty-six thousand".