289696960000 has 400 divisors, whose sum is σ = 862726639104. Its totient is φ = 94989312000.

The previous prime is 289696959973. The next prime is 289696960027. The reversal of 289696960000 is 69696982.

It is an interprime number because it is at equal distance from previous prime (289696959973) and next prime (289696960027).

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51517189 + ... + 51522811.

Almost surely, 2^289696960000 is an apocalyptic number.

289696960000 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 289696960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431363319552).

289696960000 is an abundant number, since it is smaller than the sum of its proper divisors (573029679104).

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

289696960000 is an frugal number, since it uses more digits than its factorization.

289696960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

It can be divided in two parts, 289 and 696960000, that multiplied together give a square (201421440000 = 448800²).

The spelling of 289696960000 in words is "two hundred eighty-nine billion, six hundred ninety-six million, nine hundred sixty thousand".