20093672073216 has 768 divisors, whose sum is σ = 68089641984000. Its totient is φ = 5139325255680.

The previous prime is 20093672073157. The next prime is 20093672073217. The reversal of 20093672073216 is 61237027639002.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20093672073217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1113769156 + ... + 1113787196.

It is an arithmetic number, because the mean of its divisors is an integer number (88658388000).

Almost surely, 2^{20093672073216} 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 20093672073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34044820992000).

20093672073216 is an abundant number, since it is smaller than the sum of its proper divisors (47995969910784).

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

20093672073216 is a wasteful number, since it uses less digits than its factorization.

20093672073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18168 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 20093672073216 in words is "twenty trillion, ninety-three billion, six hundred seventy-two million, seventy-three thousand, two hundred sixteen".