289253517696 has 512 divisors, whose sum is σ = 1008378201600. Its totient is φ = 80472268800.

The previous prime is 289253517689. The next prime is 289253517713. The reversal of 289253517696 is 696715352982.

289253517696 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 53 + 517 + 69 + 6 = 666.

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, 97357491 + ... + 97360461.

It is an arithmetic number, because the mean of its divisors is an integer number (1969488675).

Almost surely, 2^289253517696 is an apocalyptic number.

289253517696 is a gapful number since it is divisible by the number (26) 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 289253517696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504189100800).

289253517696 is an abundant number, since it is smaller than the sum of its proper divisors (719124683904).

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

289253517696 is a wasteful number, since it uses less digits than its factorization.

289253517696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3197 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 289253517696 in words is "two hundred eighty-nine billion, two hundred fifty-three million, five hundred seventeen thousand, six hundred ninety-six".