255033471664080 has 240 divisors, whose sum is σ = 860714480271360. Its totient is φ = 67673719296000.

The previous prime is 255033471664019. The next prime is 255033471664189. The reversal of 255033471664080 is 80466174330552.

255033471664080 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 33 + 47 + 166 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221357505 + ... + 222506655.

It is an arithmetic number, because the mean of its divisors is an integer number (3586310334464).

Almost surely, 2^{255033471664080} is an apocalyptic number.

255033471664080 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 255033471664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430357240135680).

255033471664080 is an abundant number, since it is smaller than the sum of its proper divisors (605681008607280).

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

255033471664080 is a wasteful number, since it uses less digits than its factorization.

255033471664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150690 (or 1150681 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 255033471664080 in words is "two hundred fifty-five trillion, thirty-three billion, four hundred seventy-one million, six hundred sixty-four thousand, eighty".