2565411089472 has 896 divisors, whose sum is σ = 10033996492800. Its totient is φ = 622577664000.

The previous prime is 2565411089471. The next prime is 2565411089519. The reversal of 2565411089472 is 2749801145652.

2565411089472 is a `hidden beast` number, since 2 + 5 + 6 + 54 + 110 + 8 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2565411089471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184541722 + ... + 184555622.

It is an arithmetic number, because the mean of its divisors is an integer number (11198656800).

Almost surely, 2^{2565411089472} is an apocalyptic number.

2565411089472 is a gapful number since it is divisible by the number (22) 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 2565411089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016998246400).

2565411089472 is an abundant number, since it is smaller than the sum of its proper divisors (7468585403328).

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

2565411089472 is a wasteful number, since it uses less digits than its factorization.

2565411089472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14032 (or 14016 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 2565411089472 in words is "two trillion, five hundred sixty-five billion, four hundred eleven million, eighty-nine thousand, four hundred seventy-two".