20993585184 has 720 divisors, whose sum is σ = 77215501440. Its totient is φ = 5542732800.

The previous prime is 20993585177. The next prime is 20993585233. The reversal of 20993585184 is 48158539902.

20993585184 is a `hidden beast` number, since 2 + 0 + 99 + 35 + 8 + 518 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20993585184.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77466969 + ... + 77467239.

It is an arithmetic number, because the mean of its divisors is an integer number (107243752).

Almost surely, 2^20993585184 is an apocalyptic number.

20993585184 is a gapful number since it is divisible by the number (24) 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 20993585184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38607750720).

20993585184 is an abundant number, since it is smaller than the sum of its proper divisors (56221916256).

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

20993585184 is a wasteful number, since it uses less digits than its factorization.

20993585184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 20993585184 in words is "twenty billion, nine hundred ninety-three million, five hundred eighty-five thousand, one hundred eighty-four".