255755446452480 has 576 divisors, whose sum is σ = 896077874700288. Its totient is φ = 61786498498560.

The previous prime is 255755446452371. The next prime is 255755446452509. The reversal of 255755446452480 is 84254644557552.

It is a super-4 number, since 4×255755446452480⁴ (a number of 59 digits) contains 4444 as substring.

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, 906256357 + ... + 906538523.

It is an arithmetic number, because the mean of its divisors is an integer number (1555690754688).

Almost surely, 2^{255755446452480} is an apocalyptic number.

255755446452480 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 255755446452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448038937350144).

255755446452480 is an abundant number, since it is smaller than the sum of its proper divisors (640322428247808).

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

255755446452480 is a wasteful number, since it uses less digits than its factorization.

255755446452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282542 (or 282528 counting only the distinct ones).

The product of its (nonzero) digits is 1075200000, while the sum is 66.

The spelling of 255755446452480 in words is "two hundred fifty-five trillion, seven hundred fifty-five billion, four hundred forty-six million, four hundred fifty-two thousand, four hundred eighty".