20006065617104 has 80 divisors (see below), whose sum is σ = 44873066035200. Its totient is φ = 8463482052480.

The previous prime is 20006065617071. The next prime is 20006065617137. The reversal of 20006065617104 is 40171656060002.

It is an interprime number because it is at equal distance from previous prime (20006065617071) and next prime (20006065617137).

It is a super-2 number, since 2×20006065617104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 799547 + ... + 6375845.

It is an arithmetic number, because the mean of its divisors is an integer number (560913325440).

Almost surely, 2^{20006065617104} 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 20006065617104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436533017600).

20006065617104 is an abundant number, since it is smaller than the sum of its proper divisors (24867000418096).

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

20006065617104 is a wasteful number, since it uses less digits than its factorization.

20006065617104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576728 (or 5576722 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 20006065617104 in words is "twenty trillion, six billion, sixty-five million, six hundred seventeen thousand, one hundred four".