20093101782336 has 756 divisors, whose sum is σ = 65399230522080. Its totient is φ = 5893620480000.

The previous prime is 20093101782319. The next prime is 20093101782449. The reversal of 20093101782336 is 63328710139002.

20093101782336 is a `hidden beast` number, since 200 + 9 + 3 + 101 + 7 + 8 + 2 + 336 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20093101782291 and 20093101782300.

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 107 ways as a sum of consecutive naturals, for example, 23948869405 + ... + 23948870243.

It is an arithmetic number, because the mean of its divisors is an integer number (86506918680).

Almost surely, 2^{20093101782336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20093101782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32699615261040).

20093101782336 is an abundant number, since it is smaller than the sum of its proper divisors (45306128739744).

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

20093101782336 is a wasteful number, since it uses less digits than its factorization.

20093101782336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 20093101782336 in words is "twenty trillion, ninety-three billion, one hundred one million, seven hundred eighty-two thousand, three hundred thirty-six".