289725672960 has 480 divisors, whose sum is σ = 1052457325920. Its totient is φ = 76377489408.

The previous prime is 289725672949. The next prime is 289725672967. The reversal of 289725672960 is 69276527982.

289725672960 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 2 + 567 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289725672967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55362504 + ... + 55367736.

It is an arithmetic number, because the mean of its divisors is an integer number (2192619429).

Almost surely, 2^289725672960 is an apocalyptic number.

289725672960 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 289725672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526228662960).

289725672960 is an abundant number, since it is smaller than the sum of its proper divisors (762731652960).

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

289725672960 is an frugal number, since it uses more digits than its factorization.

289725672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 289725672960 in words is "two hundred eighty-nine billion, seven hundred twenty-five million, six hundred seventy-two thousand, nine hundred sixty".