191796769920 has 512 divisors, whose sum is σ = 709835788800. Its totient is φ = 43145625600.

The previous prime is 191796769873. The next prime is 191796769921. The reversal of 191796769920 is 29967697191.

191796769920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (191796769921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310853452 + ... + 310854068.

It is an arithmetic number, because the mean of its divisors is an integer number (1386398025).

Almost surely, 2^191796769920 is an apocalyptic number.

191796769920 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 191796769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354917894400).

191796769920 is an abundant number, since it is smaller than the sum of its proper divisors (518039018880).

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

191796769920 is a wasteful number, since it uses less digits than its factorization.

191796769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 66.

The spelling of 191796769920 in words is "one hundred ninety-one billion, seven hundred ninety-six million, seven hundred sixty-nine thousand, nine hundred twenty".