2565571584000 has 448 divisors, whose sum is σ = 8564413777920. Its totient is φ = 682013491200.

The previous prime is 2565571583903. The next prime is 2565571584041. The reversal of 2565571584000 is 4851755652.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145854881 + ... + 1145857119.

It is an arithmetic number, because the mean of its divisors is an integer number (19116995040).

Almost surely, 2^{2565571584000} is an apocalyptic number.

2565571584000 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 2565571584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4282206888960).

2565571584000 is an abundant number, since it is smaller than the sum of its proper divisors (5998842193920).

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

2565571584000 is an equidigital number, since it uses as much as digits as its factorization.

2565571584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 2565571584000 in words is "two trillion, five hundred sixty-five billion, five hundred seventy-one million, five hundred eighty-four thousand".