255287102280480 has 1536 divisors, whose sum is σ = 1020537816883200. Its totient is φ = 59199720652800.

The previous prime is 255287102280479. The next prime is 255287102280493. The reversal of 255287102280480 is 84082201782552.

255287102280480 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 87 + 1 + 0 + 2 + 2 + 80 + 480 = 666.

It is a super-3 number, since 3×255287102280480³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45660362485 + ... + 45660368075.

It is an arithmetic number, because the mean of its divisors is an integer number (664412641200).

Almost surely, 2^{255287102280480} is an apocalyptic number.

255287102280480 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 255287102280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510268908441600).

255287102280480 is an abundant number, since it is smaller than the sum of its proper divisors (765250714602720).

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

255287102280480 is a wasteful number, since it uses less digits than its factorization.

255287102280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6455 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 255287102280480 in words is "two hundred fifty-five trillion, two hundred eighty-seven billion, one hundred two million, two hundred eighty thousand, four hundred eighty".