255946649552 has 80 divisors (see below), whose sum is σ = 554694497280. Its totient is φ = 113400739200.

The previous prime is 255946649537. The next prime is 255946649587.

255946649552 is nontrivially palindromic in base 10.

It is a congruent number.

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, 3681449 + ... + 3750327.

It is an arithmetic number, because the mean of its divisors is an integer number (6933681216).

Almost surely, 2^255946649552 is an apocalyptic number.

255946649552 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 255946649552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277347248640).

255946649552 is an abundant number, since it is smaller than the sum of its proper divisors (298747847728).

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

255946649552 is a wasteful number, since it uses less digits than its factorization.

255946649552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69432 (or 69426 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 62.

The spelling of 255946649552 in words is "two hundred fifty-five billion, nine hundred forty-six million, six hundred forty-nine thousand, five hundred fifty-two".