19948891113720 has 192 divisors, whose sum is σ = 68736477813120. Its totient is φ = 5000302252032.

The previous prime is 19948891113689. The next prime is 19948891113743. The reversal of 19948891113720 is 2731119884991.

19948891113720 is a `hidden beast` number, since 1 + 9 + 9 + 488 + 9 + 11 + 137 + 2 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2622337 + ... + 6839183.

It is an arithmetic number, because the mean of its divisors is an integer number (358002488610).

Almost surely, 2^{19948891113720} is an apocalyptic number.

19948891113720 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 19948891113720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34368238906560).

19948891113720 is an abundant number, since it is smaller than the sum of its proper divisors (48787586699400).

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

19948891113720 is a wasteful number, since it uses less digits than its factorization.

19948891113720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217654 (or 4217647 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 19948891113720 in words is "nineteen trillion, nine hundred forty-eight billion, eight hundred ninety-one million, one hundred thirteen thousand, seven hundred twenty".