20093337216 has 384 divisors, whose sum is σ = 64073380800. Its totient is φ = 6019743744.

The previous prime is 20093337191. The next prime is 20093337223. The reversal of 20093337216 is 61273339002.

20093337216 is a `hidden beast` number, since 20 + 0 + 93 + 337 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34823520 + ... + 34824096.

Almost surely, 2^20093337216 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 20093337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32036690400).

20093337216 is an abundant number, since it is smaller than the sum of its proper divisors (43980043584).

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

20093337216 is a wasteful number, since it uses less digits than its factorization.

20093337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 20093337216 in words is "twenty billion, ninety-three million, three hundred thirty-seven thousand, two hundred sixteen".