289506389378976 has 2520 divisors, whose sum is σ = 1143929061626400. Its totient is φ = 70604233666560.

The previous prime is 289506389378963. The next prime is 289506389378977. The reversal of 289506389378976 is 679873983605982.

289506389378976 is a `hidden beast` number, since 2 + 8 + 9 + 50 + 6 + 389 + 37 + 89 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (289506389378977) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 690946036495 + ... + 690946036913.

It is an arithmetic number, because the mean of its divisors is an integer number (453940103820).

Almost surely, 2^{289506389378976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289506389378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571964530813200).

289506389378976 is an abundant number, since it is smaller than the sum of its proper divisors (854422672247424).

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

289506389378976 is an frugal number, since it uses more digits than its factorization.

289506389378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 59256852480, while the sum is 90.

The spelling of 289506389378976 in words is "two hundred eighty-nine trillion, five hundred six billion, three hundred eighty-nine million, three hundred seventy-eight thousand, nine hundred seventy-six".