280755438796800 has 1080 divisors, whose sum is σ = 1120475426982912. Its totient is φ = 66613346304000.

The previous prime is 280755438796787. The next prime is 280755438796829. The reversal of 280755438796800 is 8697834557082.

280755438796800 is a `hidden beast` number, since 2 + 8 + 0 + 7 + 5 + 543 + 8 + 79 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1905795145 + ... + 1905942455.

Almost surely, 2^{280755438796800} is an apocalyptic number.

280755438796800 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 280755438796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560237713491456).

280755438796800 is an abundant number, since it is smaller than the sum of its proper divisors (839719988186112).

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

280755438796800 is a wasteful number, since it uses less digits than its factorization.

280755438796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147413 (or 147379 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 280755438796800 in words is "two hundred eighty trillion, seven hundred fifty-five billion, four hundred thirty-eight million, seven hundred ninety-six thousand, eight hundred".