2558538853288 has 64 divisors (see below), whose sum is σ = 5312235741120. Its totient is φ = 1145452492800.

The previous prime is 2558538853267. The next prime is 2558538853357. The reversal of 2558538853288 is 8823588358552.

It is a happy number.

2558538853288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2558538853288² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48090670 + ... + 48143842.

It is an arithmetic number, because the mean of its divisors is an integer number (83003683455).

Almost surely, 2^{2558538853288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2558538853288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656117870560).

2558538853288 is an abundant number, since it is smaller than the sum of its proper divisors (2753696887832).

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

2558538853288 is a wasteful number, since it uses less digits than its factorization.

2558538853288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61418 (or 61414 counting only the distinct ones).

The product of its digits is 737280000, while the sum is 70.

The spelling of 2558538853288 in words is "two trillion, five hundred fifty-eight billion, five hundred thirty-eight million, eight hundred fifty-three thousand, two hundred eighty-eight".