255559506209280 has 1920 divisors, whose sum is σ = 1138546588354560. Its totient is φ = 53856640696320.

The previous prime is 255559506209263. The next prime is 255559506209281. The reversal of 255559506209280 is 82902605955552.

255559506209280 is a `hidden beast` number, since 2 + 5 + 5 + 559 + 50 + 6 + 2 + 0 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×255559506209280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (255559506209281) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 43633172112 + ... + 43633177968.

It is an arithmetic number, because the mean of its divisors is an integer number (592993014768).

Almost surely, 2^{255559506209280} is an apocalyptic number.

255559506209280 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 255559506209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569273294177280).

255559506209280 is an abundant number, since it is smaller than the sum of its proper divisors (882987082145280).

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

255559506209280 is a wasteful number, since it uses less digits than its factorization.

255559506209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6878 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 255559506209280 in words is "two hundred fifty-five trillion, five hundred fifty-nine billion, five hundred six million, two hundred nine thousand, two hundred eighty".