289987138358064 has 160 divisors (see below), whose sum is σ = 955471225213440. Its totient is φ = 82488474655488.

The previous prime is 289987138357949. The next prime is 289987138358111. The reversal of 289987138358064 is 460853831789982.

289987138358064 is a `hidden beast` number, since 2 + 8 + 9 + 98 + 71 + 383 + 5 + 80 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210536499 + ... + 211909394.

It is an arithmetic number, because the mean of its divisors is an integer number (5971695157584).

It is a 1-persistent number, because it is pandigital, but 2⋅289987138358064 = 579974276716128 is not.

Almost surely, 2^{289987138358064} is an apocalyptic number.

289987138358064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

289987138358064 is an abundant number, since it is smaller than the sum of its proper divisors (665484086855376).

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

289987138358064 is a wasteful number, since it uses less digits than its factorization.

289987138358064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422446144 (or 422446132 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 289987138358064 in words is "two hundred eighty-nine trillion, nine hundred eighty-seven billion, one hundred thirty-eight million, three hundred fifty-eight thousand, sixty-four".