189991630080 has 2016 divisors, whose sum is σ = 868614969600. Its totient is φ = 38793904128.

The previous prime is 189991630079. The next prime is 189991630121. The reversal of 189991630080 is 80036199981.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 189991629999 and 189991630026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3220197091 + ... + 3220197149.

It is an arithmetic number, because the mean of its divisors is an integer number (430860600).

Almost surely, 2^189991630080 is an apocalyptic number.

189991630080 is a gapful number since it is divisible by the number (10) 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 189991630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434307484800).

189991630080 is an abundant number, since it is smaller than the sum of its proper divisors (678623339520).

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

189991630080 is an equidigital number, since it uses as much as digits as its factorization.

189991630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 189991630080 in words is "one hundred eighty-nine billion, nine hundred ninety-one million, six hundred thirty thousand, eighty".