19720179948000 has 1536 divisors, whose sum is σ = 78288873062400. Its totient is φ = 4334325811200.

The previous prime is 19720179947989. The next prime is 19720179948017. The reversal of 19720179948000 is 84997102791.

It is a congruent number.

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, 11858195169 + ... + 11858196831.

It is an arithmetic number, because the mean of its divisors is an integer number (50969318400).

Almost surely, 2^{19720179948000} is an apocalyptic number.

19720179948000 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 19720179948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39144436531200).

19720179948000 is an abundant number, since it is smaller than the sum of its proper divisors (58568693114400).

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

19720179948000 is a wasteful number, since it uses less digits than its factorization.

19720179948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 57.

The spelling of 19720179948000 in words is "nineteen trillion, seven hundred twenty billion, one hundred seventy-nine million, nine hundred forty-eight thousand".