2555532355552 has 144 divisors (see below), whose sum is σ = 5566429784160. Its totient is φ = 1154014202880.

The previous prime is 2555532355511. The next prime is 2555532355711.

It is a happy number.

2555532355552 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2555532355552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385039978 + ... + 385046614.

It is an arithmetic number, because the mean of its divisors is an integer number (38655762390).

Almost surely, 2^{2555532355552} is an apocalyptic number.

2555532355552 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 2555532355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783214892080).

2555532355552 is an abundant number, since it is smaller than the sum of its proper divisors (3010897428608).

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

2555532355552 is a wasteful number, since it uses less digits than its factorization.

2555532355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7286 counting only the distinct ones).

The product of its digits is 28125000, while the sum is 52.

The spelling of 2555532355552 in words is "two trillion, five hundred fifty-five billion, five hundred thirty-two million, three hundred fifty-five thousand, five hundred fifty-two".