2255943598020 has 288 divisors, whose sum is σ = 8271248993280. Its totient is φ = 486188801280.

The previous prime is 2255943598019. The next prime is 2255943598031. The reversal of 2255943598020 is 208953495522.

It is a happy number.

2255943598020 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 9 + 43 + 598 + 0 + 2 + 0 = 666.

2255943598020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 4828039 + ... + 5274641.

It is an arithmetic number, because the mean of its divisors is an integer number (28719614560).

Almost surely, 2^{2255943598020} is an apocalyptic number.

2255943598020 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 2255943598020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135624496640).

2255943598020 is an abundant number, since it is smaller than the sum of its proper divisors (6015305395260).

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

2255943598020 is a wasteful number, since it uses less digits than its factorization.

2255943598020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446855 (or 446850 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 2255943598020 in words is "two trillion, two hundred fifty-five billion, nine hundred forty-three million, five hundred ninety-eight thousand, twenty".