20006549007120 has 320 divisors, whose sum is σ = 74229574003200. Its totient is φ = 4923544504320.

The previous prime is 20006549007083. The next prime is 20006549007217. The reversal of 20006549007120 is 2170094560002.

20006549007120 is a `hidden beast` number, since 20 + 0 + 0 + 6 + 549 + 0 + 0 + 71 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 124061101 + ... + 124222259.

It is an arithmetic number, because the mean of its divisors is an integer number (231967418760).

Almost surely, 2^{20006549007120} is an apocalyptic number.

20006549007120 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 20006549007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37114787001600).

20006549007120 is an abundant number, since it is smaller than the sum of its proper divisors (54223024996080).

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

20006549007120 is a wasteful number, since it uses less digits than its factorization.

20006549007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165615 (or 165603 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 20006549007120 in words is "twenty trillion, six billion, five hundred forty-nine million, seven thousand, one hundred twenty".