20086334588160 has 1584 divisors, whose sum is σ = 77428560908160. Its totient is φ = 4977575608320.

The previous prime is 20086334588149. The next prime is 20086334588171. The reversal of 20086334588160 is 6188543368002.

20086334588160 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 63 + 345 + 88 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (20086334588149) and next prime (20086334588171).

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

It is a junction number, because it is equal to n+sod(n) for n = 20086334588097 and 20086334588106.

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 175 ways as a sum of consecutive naturals, for example, 101961089182 + ... + 101961089378.

It is an arithmetic number, because the mean of its divisors is an integer number (48881667240).

Almost surely, 2^{20086334588160} is an apocalyptic number.

20086334588160 is a gapful number since it is divisible by the number (20) 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 20086334588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38714280454080).

20086334588160 is an abundant number, since it is smaller than the sum of its proper divisors (57342226320000).

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

20086334588160 is an frugal number, since it uses more digits than its factorization.

20086334588160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 20086334588160 in words is "twenty trillion, eighty-six billion, three hundred thirty-four million, five hundred eighty-eight thousand, one hundred sixty".