280166400000 has 720 divisors, whose sum is σ = 1064890827000. Its totient is φ = 70778880000.

The previous prime is 280166399993. The next prime is 280166400013. The reversal of 280166400000 is 4661082.

280166400000 is a `hidden beast` number, since 2 + 8 + 0 + 16 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14745599991 + ... + 14745600009.

Almost surely, 2^280166400000 is an apocalyptic number.

280166400000 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 280166400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532445413500).

280166400000 is an abundant number, since it is smaller than the sum of its proper divisors (784724427000).

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

280166400000 is an frugal number, since it uses more digits than its factorization.

280166400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 280166400000 in words is "two hundred eighty billion, one hundred sixty-six million, four hundred thousand".