189767561088 has 128 divisors (see below), whose sum is σ = 576460523520. Its totient is φ = 54183499776.

The previous prime is 189767561047. The next prime is 189767561117. The reversal of 189767561088 is 880165767981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189570 + ... + 4234622.

It is an arithmetic number, because the mean of its divisors is an integer number (4503597840).

Almost surely, 2^189767561088 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 189767561088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288230261760).

189767561088 is an abundant number, since it is smaller than the sum of its proper divisors (386692962432).

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

189767561088 is a wasteful number, since it uses less digits than its factorization.

189767561088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46644 (or 46632 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 189767561088 in words is "one hundred eighty-nine billion, seven hundred sixty-seven million, five hundred sixty-one thousand, eighty-eight".