289800023580672 has 112 divisors (see below), whose sum is σ = 843003158869152. Its totient is φ = 87818188881920.

The previous prime is 289800023580649. The next prime is 289800023580677. The reversal of 289800023580672 is 276085320008982.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (289800023580677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535729353 + ... + 536270024.

Almost surely, 2^{289800023580672} is an apocalyptic number.

289800023580672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

289800023580672 is an abundant number, since it is smaller than the sum of its proper divisors (553203135288480).

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

289800023580672 is a wasteful number, since it uses less digits than its factorization.

289800023580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071999417 (or 1071999393 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 289800023580672 in words is "two hundred eighty-nine trillion, eight hundred billion, twenty-three million, five hundred eighty thousand, six hundred seventy-two".