20064012364000 has 288 divisors, whose sum is σ = 54234070109856. Its totient is φ = 7289568000000.

The previous prime is 20064012363991. The next prime is 20064012364051. The reversal of 20064012364000 is 46321046002.

It is a self number, because there is not a number n which added to its sum of digits gives 20064012364000.

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 47 ways as a sum of consecutive naturals, for example, 566746300 + ... + 566781700.

It is an arithmetic number, because the mean of its divisors is an integer number (188312743437).

Almost surely, 2^{20064012364000} is an apocalyptic number.

20064012364000 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 20064012364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27117035054928).

20064012364000 is an abundant number, since it is smaller than the sum of its proper divisors (34170057745856).

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

20064012364000 is a wasteful number, since it uses less digits than its factorization.

20064012364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36619 (or 36590 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 20064012364000 in words is "twenty trillion, sixty-four billion, twelve million, three hundred sixty-four thousand".