2555646525300 has 288 divisors, whose sum is σ = 8128887717888. Its totient is φ = 614779200000.

The previous prime is 2555646525287. The next prime is 2555646525317. The reversal of 2555646525300 is 35256465552.

It is a happy number.

2555646525300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2555646525300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265351485 + ... + 265361115.

It is an arithmetic number, because the mean of its divisors is an integer number (28225304576).

Almost surely, 2^{2555646525300} is an apocalyptic number.

2555646525300 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 2555646525300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064443858944).

2555646525300 is an abundant number, since it is smaller than the sum of its proper divisors (5573241192588).

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

2555646525300 is a wasteful number, since it uses less digits than its factorization.

2555646525300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 5400000, while the sum is 48.

The spelling of 2555646525300 in words is "two trillion, five hundred fifty-five billion, six hundred forty-six million, five hundred twenty-five thousand, three hundred".