289070664960 has 1728 divisors, whose sum is σ = 1242672463872. Its totient is φ = 55959552000.

The previous prime is 289070664923. The next prime is 289070664977. The reversal of 289070664960 is 69466070982.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 289070664960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4738863330 + ... + 4738863390.

Almost surely, 2^289070664960 is an apocalyptic number.

289070664960 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 289070664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621336231936).

289070664960 is an abundant number, since it is smaller than the sum of its proper divisors (953601798912).

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

289070664960 is a wasteful number, since it uses less digits than its factorization.

289070664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 289070664960 in words is "two hundred eighty-nine billion, seventy million, six hundred sixty-four thousand, nine hundred sixty".