289933681680 has 120 divisors (see below), whose sum is σ = 996338099328. Its totient is φ = 75517602048.

The previous prime is 289933681643. The next prime is 289933681691. The reversal of 289933681680 is 86186339982.

289933681680 is a `hidden beast` number, since 28 + 9 + 93 + 368 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4651432 + ... + 4713351.

Almost surely, 2^289933681680 is an apocalyptic number.

289933681680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289933681680 is an abundant number, since it is smaller than the sum of its proper divisors (706404417648).

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

289933681680 is a wasteful number, since it uses less digits than its factorization.

289933681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9364845 (or 9364836 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 289933681680 in words is "two hundred eighty-nine billion, nine hundred thirty-three million, six hundred eighty-one thousand, six hundred eighty".