289049728296960 has 1152 divisors, whose sum is σ = 1089878230022400. Its totient is φ = 73372501278720.

The previous prime is 289049728296943. The next prime is 289049728296971. The reversal of 289049728296960 is 69692827940982.

289049728296960 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 497 + 2 + 8 + 2 + 9 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 289049728296960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5123422672 + ... + 5123479088.

It is an arithmetic number, because the mean of its divisors is an integer number (946074852450).

Almost surely, 2^{289049728296960} is an apocalyptic number.

289049728296960 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 289049728296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544939115011200).

289049728296960 is an abundant number, since it is smaller than the sum of its proper divisors (800828501725440).

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

289049728296960 is an equidigital number, since it uses as much as digits as its factorization.

289049728296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56559 (or 56527 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 289049728296960 in words is "two hundred eighty-nine trillion, forty-nine billion, seven hundred twenty-eight million, two hundred ninety-six thousand, nine hundred sixty".