193864948219920 has 160 divisors (see below), whose sum is σ = 622337312505600. Its totient is φ = 49863873697792.

The previous prime is 193864948219907. The next prime is 193864948219931. The reversal of 193864948219920 is 29912849468391.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7326255 + ... + 21009614.

It is an arithmetic number, because the mean of its divisors is an integer number (3889608203160).

Almost surely, 2^{193864948219920} is an apocalyptic number.

193864948219920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193864948219920 is an abundant number, since it is smaller than the sum of its proper divisors (428472364285680).

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

193864948219920 is a wasteful number, since it uses less digits than its factorization.

193864948219920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336897 (or 28336891 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 75.

The spelling of 193864948219920 in words is "one hundred ninety-three trillion, eight hundred sixty-four billion, nine hundred forty-eight million, two hundred nineteen thousand, nine hundred twenty".