2565114072200 has 96 divisors (see below), whose sum is σ = 6327211699200. Its totient is φ = 964389162240.

The previous prime is 2565114072179. The next prime is 2565114072203. The reversal of 2565114072200 is 22704115652.

It is not an unprimeable number, because it can be changed into a prime (2565114072203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2174999 + ... + 3140198.

It is an arithmetic number, because the mean of its divisors is an integer number (65908455200).

Almost surely, 2^{2565114072200} is an apocalyptic number.

2565114072200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565114072200 is an abundant number, since it is smaller than the sum of its proper divisors (3762097627000).

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

2565114072200 is a wasteful number, since it uses less digits than its factorization.

2565114072200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315359 (or 5315350 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 2565114072200 its reverse (22704115652), we get a palindrome (2587818187852).

The spelling of 2565114072200 in words is "two trillion, five hundred sixty-five billion, one hundred fourteen million, seventy-two thousand, two hundred".