289173888000 has 704 divisors, whose sum is σ = 1083020864640. Its totient is φ = 77038387200.

The previous prime is 289173887971. The next prime is 289173888013. The reversal of 289173888000 is 888371982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279935484 + ... + 279936516.

It is an arithmetic number, because the mean of its divisors is an integer number (1538381910).

Almost surely, 2^289173888000 is an apocalyptic number.

289173888000 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 289173888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541510432320).

289173888000 is an abundant number, since it is smaller than the sum of its proper divisors (793846976640).

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

289173888000 is an frugal number, since it uses more digits than its factorization.

289173888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 289173888000 in words is "two hundred eighty-nine billion, one hundred seventy-three million, eight hundred eighty-eight thousand".