289132047144960 has 768 divisors, whose sum is σ = 974430783406080. Its totient is φ = 73047360798720.

The previous prime is 289132047144943. The next prime is 289132047145009. The reversal of 289132047144960 is 69441740231982.

It is a tau number, because it is divible by the number of its divisors (768).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 289132047144894 and 289132047144903.

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, 62005583589 + ... + 62005588251.

It is an arithmetic number, because the mean of its divisors is an integer number (1268790082560).

Almost surely, 2^{289132047144960} is an apocalyptic number.

289132047144960 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 289132047144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487215391703040).

289132047144960 is an abundant number, since it is smaller than the sum of its proper divisors (685298736261120).

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

289132047144960 is a wasteful number, since it uses less digits than its factorization.

289132047144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 289132047144960 in words is "two hundred eighty-nine trillion, one hundred thirty-two billion, forty-seven million, one hundred forty-four thousand, nine hundred sixty".