255359422080 has 384 divisors, whose sum is σ = 1010562209280. Its totient is φ = 58205454336.

The previous prime is 255359422079. The next prime is 255359422147. The reversal of 255359422080 is 80224953552.

255359422080 is a `hidden beast` number, since 2 + 5 + 53 + 594 + 2 + 2 + 0 + 8 + 0 = 666.

255359422080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14788812 + ... + 14806068.

It is an arithmetic number, because the mean of its divisors is an integer number (2631672420).

Almost surely, 2^255359422080 is an apocalyptic number.

255359422080 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 255359422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505281104640).

255359422080 is an abundant number, since it is smaller than the sum of its proper divisors (755202787200).

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

255359422080 is a wasteful number, since it uses less digits than its factorization.

255359422080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17656 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 255359422080 in words is "two hundred fifty-five billion, three hundred fifty-nine million, four hundred twenty-two thousand, eighty".