255745547552 has 96 divisors (see below), whose sum is σ = 553615534080. Its totient is φ = 115331973120.

The previous prime is 255745547537. The next prime is 255745547567.

255745547552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255745547537) and next prime (255745547567).

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, 26014574 + ... + 26024402.

It is an arithmetic number, because the mean of its divisors is an integer number (5766828480).

Almost surely, 2^255745547552 is an apocalyptic number.

255745547552 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 255745547552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276807767040).

255745547552 is an abundant number, since it is smaller than the sum of its proper divisors (297869986528).

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

255745547552 is a wasteful number, since it uses less digits than its factorization.

255745547552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10426 (or 10418 counting only the distinct ones).

The product of its digits is 49000000, while the sum is 56.

The spelling of 255745547552 in words is "two hundred fifty-five billion, seven hundred forty-five million, five hundred forty-seven thousand, five hundred fifty-two".