20338461093720 has 768 divisors, whose sum is σ = 80803912089600. Its totient is φ = 4002798412800.

The previous prime is 20338461093677. The next prime is 20338461093733. The reversal of 20338461093720 is 2739016483302.

It is a self number, because there is not a number n which added to its sum of digits gives 20338461093720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148020811 + ... + 148158149.

It is an arithmetic number, because the mean of its divisors is an integer number (105213427200).

Almost surely, 2^{20338461093720} is an apocalyptic number.

20338461093720 is a gapful number since it is divisible by the number (20) 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 20338461093720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40401956044800).

20338461093720 is an abundant number, since it is smaller than the sum of its proper divisors (60465450995880).

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

20338461093720 is a wasteful number, since it uses less digits than its factorization.

20338461093720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137460 (or 137445 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 20338461093720 in words is "twenty trillion, three hundred thirty-eight billion, four hundred sixty-one million, ninety-three thousand, seven hundred twenty".