19813764365920 has 144 divisors (see below), whose sum is σ = 54454711606848. Its totient is φ = 6793011025920.

The previous prime is 19813764365917. The next prime is 19813764365947. The reversal of 19813764365920 is 2956346731891.

It is a super-3 number, since 3×19813764365920³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303147964 + ... + 303213316.

It is an arithmetic number, because the mean of its divisors is an integer number (378157719492).

It is a 2-persistent number, because it is pandigital, and so is 2⋅19813764365920 = 39627528731840, but 3⋅19813764365920 = 59441293097760 is not.

Almost surely, 2^{19813764365920} is an apocalyptic number.

19813764365920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19813764365920 is an abundant number, since it is smaller than the sum of its proper divisors (34640947240928).

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

19813764365920 is a wasteful number, since it uses less digits than its factorization.

19813764365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104053 (or 104038 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 19813764365920 in words is "nineteen trillion, eight hundred thirteen billion, seven hundred sixty-four million, three hundred sixty-five thousand, nine hundred twenty".