189968959776 has 96 divisors (see below), whose sum is σ = 525811426560. Its totient is φ = 59887662336.

The previous prime is 189968959769. The next prime is 189968959801. The reversal of 189968959776 is 677959869981.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981975 + ... + 1159401.

It is an arithmetic number, because the mean of its divisors is an integer number (5477202360).

Almost surely, 2^189968959776 is an apocalyptic number.

189968959776 is a gapful number since it is divisible by the number (16) 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 189968959776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262905713280).

189968959776 is an abundant number, since it is smaller than the sum of its proper divisors (335842466784).

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

189968959776 is a wasteful number, since it uses less digits than its factorization.

189968959776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178046 (or 178038 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 84.

The spelling of 189968959776 in words is "one hundred eighty-nine billion, nine hundred sixty-eight million, nine hundred fifty-nine thousand, seven hundred seventy-six".