2255625766360 has 128 divisors (see below), whose sum is σ = 5311550764800. Its totient is φ = 860977152000.

The previous prime is 2255625766349. The next prime is 2255625766363. The reversal of 2255625766360 is 636675265522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255625766363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84489174 + ... + 84515866.

It is an arithmetic number, because the mean of its divisors is an integer number (41496490350).

Almost surely, 2^{2255625766360} is an apocalyptic number.

2255625766360 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 2255625766360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655775382400).

2255625766360 is an abundant number, since it is smaller than the sum of its proper divisors (3055924998440).

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

2255625766360 is a wasteful number, since it uses less digits than its factorization.

2255625766360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27581 (or 27577 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 55.

The spelling of 2255625766360 in words is "two trillion, two hundred fifty-five billion, six hundred twenty-five million, seven hundred sixty-six thousand, three hundred sixty".