190870736196000 has 1536 divisors, whose sum is σ = 747989738496000. Its totient is φ = 41628819456000.

The previous prime is 190870736195989. The next prime is 190870736196059. The reversal of 190870736196000 is 691637078091.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 81603562831 + ... + 81603565169.

It is an arithmetic number, because the mean of its divisors is an integer number (486972486000).

Almost surely, 2^{190870736196000} is an apocalyptic number.

190870736196000 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 190870736196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373994869248000).

190870736196000 is an abundant number, since it is smaller than the sum of its proper divisors (557119002300000).

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

190870736196000 is a wasteful number, since it uses less digits than its factorization.

190870736196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 190870736196000 in words is "one hundred ninety trillion, eight hundred seventy billion, seven hundred thirty-six million, one hundred ninety-six thousand".