280120800085632 has 384 divisors, whose sum is σ = 938050828377600. Its totient is φ = 82146858393600.

The previous prime is 280120800085627. The next prime is 280120800085673. The reversal of 280120800085632 is 236580008021082.

280120800085632 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 2 + 0 + 8 + 0 + 0 + 0 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×280120800085632³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159208 + ... + 23767704.

It is an arithmetic number, because the mean of its divisors is an integer number (2442840698900).

Almost surely, 2^{280120800085632} is an apocalyptic number.

280120800085632 is a gapful number since it is divisible by the number (22) 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 280120800085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469025414188800).

280120800085632 is an abundant number, since it is smaller than the sum of its proper divisors (657930028291968).

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

280120800085632 is a wasteful number, since it uses less digits than its factorization.

280120800085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608573 (or 21608544 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 280120800085632 in words is "two hundred eighty trillion, one hundred twenty billion, eight hundred million, eighty-five thousand, six hundred thirty-two".