190768545792000 has 2560 divisors, whose sum is σ = 785487029184000. Its totient is φ = 46246920192000.

The previous prime is 190768545791921. The next prime is 190768545792007. The reversal of 190768545792000 is 297545867091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

190768545792000 is a `hidden beast` number, since 1 + 9 + 0 + 7 + 6 + 8 + 54 + 579 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190768545792007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 17342595071995 + ... + 17342595072005.

It is an arithmetic number, because the mean of its divisors is an integer number (306830870775).

Almost surely, 2^{190768545792000} is an apocalyptic number.

190768545792000 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 190768545792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392743514592000).

190768545792000 is an abundant number, since it is smaller than the sum of its proper divisors (594718483392000).

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

190768545792000 is an frugal number, since it uses more digits than its factorization.

190768545792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 190768545792000 in words is "one hundred ninety trillion, seven hundred sixty-eight billion, five hundred forty-five million, seven hundred ninety-two thousand".