2565704451072 has 616 divisors, whose sum is σ = 8271611925760. Its totient is φ = 706313502720.

The previous prime is 2565704451071. The next prime is 2565704451077. The reversal of 2565704451072 is 2701544075652.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2565704451071) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11203949454 + ... + 11203949682.

Almost surely, 2^{2565704451072} 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 2565704451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135805962880).

2565704451072 is an abundant number, since it is smaller than the sum of its proper divisors (5705907474688).

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

2565704451072 is an frugal number, since it uses more digits than its factorization.

2565704451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 48.

The spelling of 2565704451072 in words is "two trillion, five hundred sixty-five billion, seven hundred four million, four hundred fifty-one thousand, seventy-two".