289273420800 has 2376 divisors, whose sum is σ = 1364003646096. Its totient is φ = 60197437440.

The previous prime is 289273420753. The next prime is 289273420829. The reversal of 289273420800 is 8024372982.

289273420800 is a `hidden beast` number, since 2 + 89 + 2 + 73 + 420 + 80 + 0 = 666.

It is a super-2 number, since 2×289273420800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3962649564 + ... + 3962649636.

Almost surely, 2^289273420800 is an apocalyptic number.

289273420800 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 289273420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682001823048).

289273420800 is an abundant number, since it is smaller than the sum of its proper divisors (1074730225296).

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

289273420800 is a wasteful number, since it uses less digits than its factorization.

289273420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 289273420800 in words is "two hundred eighty-nine billion, two hundred seventy-three million, four hundred twenty thousand, eight hundred".