255500306880 has 448 divisors, whose sum is σ = 1006321827840. Its totient is φ = 53480964096.

The previous prime is 255500306857. The next prime is 255500306911. The reversal of 255500306880 is 88603005552.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 11083206 + ... + 11106234.

It is an arithmetic number, because the mean of its divisors is an integer number (2246254080).

Almost surely, 2^255500306880 is an apocalyptic number.

255500306880 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 255500306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503160913920).

255500306880 is an abundant number, since it is smaller than the sum of its proper divisors (750821520960).

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

255500306880 is a wasteful number, since it uses less digits than its factorization.

255500306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23196 (or 23186 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 255500306880 in words is "two hundred fifty-five billion, five hundred million, three hundred six thousand, eight hundred eighty".