255556251924480 has 3456 divisors, whose sum is σ = 1083323016921600. Its totient is φ = 55252824883200.

The previous prime is 255556251924469. The next prime is 255556251924487. The reversal of 255556251924480 is 84429152655552.

255556251924480 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 5 + 62 + 5 + 1 + 92 + 4 + 480 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255556251924487) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311274362470 + ... + 311274363290.

It is an arithmetic number, because the mean of its divisors is an integer number (313461521100).

Almost surely, 2^{255556251924480} is an apocalyptic number.

255556251924480 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 255556251924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541661508460800).

255556251924480 is an abundant number, since it is smaller than the sum of its proper divisors (827766764997120).

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

255556251924480 is a wasteful number, since it uses less digits than its factorization.

255556251924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 172800000, while the sum is 63.

The spelling of 255556251924480 in words is "two hundred fifty-five trillion, five hundred fifty-six billion, two hundred fifty-one million, nine hundred twenty-four thousand, four hundred eighty".