2565724672000 has 624 divisors, whose sum is σ = 7691309683200. Its totient is φ = 851042304000.

The previous prime is 2565724671967. The next prime is 2565724672013. The reversal of 2565724672000 is 2764275652.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777726351 + ... + 777729649.

It is an arithmetic number, because the mean of its divisors is an integer number (12325816800).

Almost surely, 2^{2565724672000} is an apocalyptic number.

2565724672000 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 2565724672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845654841600).

2565724672000 is an abundant number, since it is smaller than the sum of its proper divisors (5125585011200).

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

2565724672000 is an equidigital number, since it uses as much as digits as its factorization.

2565724672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 46.

The spelling of 2565724672000 in words is "two trillion, five hundred sixty-five billion, seven hundred twenty-four million, six hundred seventy-two thousand".