190523058085120 has 288 divisors, whose sum is σ = 473854775869440. Its totient is φ = 73317823488000.

The previous prime is 190523058085109. The next prime is 190523058085121. The reversal of 190523058085120 is 21580850325091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190523058085121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7627316791 + ... + 7627341769.

It is an arithmetic number, because the mean of its divisors is an integer number (1645329082880).

Almost surely, 2^{190523058085120} is an apocalyptic number.

190523058085120 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 190523058085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236927387934720).

190523058085120 is an abundant number, since it is smaller than the sum of its proper divisors (283331717784320).

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

190523058085120 is a wasteful number, since it uses less digits than its factorization.

190523058085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26153 (or 26139 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 49.

The spelling of 190523058085120 in words is "one hundred ninety trillion, five hundred twenty-three billion, fifty-eight million, eighty-five thousand, one hundred twenty".