289074998016000 has 3840 divisors, whose sum is σ = 1346381529292800. Its totient is φ = 60165586944000.

The previous prime is 289074998015959. The next prime is 289074998016001. The reversal of 289074998016000 is 610899470982.

289074998016000 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 7 + 499 + 80 + 1 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289074998016001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 76495102111 + ... + 76495105889.

It is an arithmetic number, because the mean of its divisors is an integer number (350620189920).

Almost surely, 2^{289074998016000} is an apocalyptic number.

289074998016000 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 289074998016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673190764646400).

289074998016000 is an abundant number, since it is smaller than the sum of its proper divisors (1057306531276800).

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

289074998016000 is a wasteful number, since it uses less digits than its factorization.

289074998016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 289074998016000 in words is "two hundred eighty-nine trillion, seventy-four billion, nine hundred ninety-eight million, sixteen thousand".