280505266280800 has 288 divisors, whose sum is σ = 789067870424064. Its totient is φ = 96415909632000.

The previous prime is 280505266280753. The next prime is 280505266280807. The reversal of 280505266280800 is 8082662505082.

It is a happy number.

It is a super-2 number, since 2×280505266280800² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280505266280807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225939 + ... + 23686738.

It is an arithmetic number, because the mean of its divisors is an integer number (2739818994528).

Almost surely, 2^{280505266280800} is an apocalyptic number.

280505266280800 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 280505266280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394533935212032).

280505266280800 is an abundant number, since it is smaller than the sum of its proper divisors (508562604143264).

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

280505266280800 is a wasteful number, since it uses less digits than its factorization.

280505266280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23912782 (or 23912769 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 280505266280800 in words is "two hundred eighty trillion, five hundred five billion, two hundred sixty-six million, two hundred eighty thousand, eight hundred".