289825916562 has 128 divisors (see below), whose sum is σ = 796712716800. Its totient is φ = 76049342208.

The previous prime is 289825916521. The next prime is 289825916641. The reversal of 289825916562 is 265619528982.

289825916562 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 2 + 59 + 16 + 562 = 666.

It is a super-2 number, since 2×289825916562² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 289825916562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818364 + ... + 1117752.

It is an arithmetic number, because the mean of its divisors is an integer number (6224318100).

Almost surely, 2^289825916562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289825916562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398356358400).

289825916562 is an abundant number, since it is smaller than the sum of its proper divisors (506886800238).

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

289825916562 is a wasteful number, since it uses less digits than its factorization.

289825916562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299617 (or 299611 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 63.

The spelling of 289825916562 in words is "two hundred eighty-nine billion, eight hundred twenty-five million, nine hundred sixteen thousand, five hundred sixty-two".