20073688728192 has 1152 divisors, whose sum is σ = 67196630592000. Its totient is φ = 5959427696640.

The previous prime is 20073688728157. The next prime is 20073688728251. The reversal of 20073688728192 is 29182788637002.

20073688728192 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 368 + 87 + 2 + 8 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55915567309 + ... + 55915567667.

It is an arithmetic number, because the mean of its divisors is an integer number (58330408500).

Almost surely, 2^{20073688728192} is an apocalyptic number.

20073688728192 is a gapful number since it is divisible by the number (22) 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 20073688728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33598315296000).

20073688728192 is an abundant number, since it is smaller than the sum of its proper divisors (47122941863808).

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

20073688728192 is a wasteful number, since it uses less digits than its factorization.

20073688728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 20073688728192 in words is "twenty trillion, seventy-three billion, six hundred eighty-eight million, seven hundred twenty-eight thousand, one hundred ninety-two".