289368612000 has 1920 divisors, whose sum is σ = 1246649564160. Its totient is φ = 65144217600.

The previous prime is 289368611981. The next prime is 289368612019. The reversal of 289368612000 is 216863982.

289368612000 is a `hidden beast` number, since 2 + 89 + 368 + 6 + 1 + 200 + 0 = 666.

289368612000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (289368611981) and next prime (289368612019).

It is a super-2 number, since 2×289368612000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2809403949 + ... + 2809404051.

It is an arithmetic number, because the mean of its divisors is an integer number (649296648).

Almost surely, 2^289368612000 is an apocalyptic number.

289368612000 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 289368612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623324782080).

289368612000 is an abundant number, since it is smaller than the sum of its proper divisors (957280952160).

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

289368612000 is a wasteful number, since it uses less digits than its factorization.

289368612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 289368612000 in words is "two hundred eighty-nine billion, three hundred sixty-eight million, six hundred twelve thousand".