20736000000000 has 900 divisors, whose sum is σ = 77439696660018. Its totient is φ = 5529600000000.

The previous prime is 20735999999951. The next prime is 20736000000029. The reversal of 20736000000000 is 63702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 19507839565824 + 1228160434176 = 4416768^2 + 1108224^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20736000000000.

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 49 ways as a sum of consecutive naturals, for example, 4147199999998 + ... + 4147200000002.

Almost surely, 2^{20736000000000} is an apocalyptic number.

20736000000000 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 20736000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38719848330009).

20736000000000 is an abundant number, since it is smaller than the sum of its proper divisors (56703696660018).

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

20736000000000 is an frugal number, since it uses more digits than its factorization.

20736000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

Multiplying 20736000000000 by its sum of digits (18), we get a cube (373248000000000 = 72000³).

Adding to 20736000000000 its reverse (63702), we get a palindrome (20736000063702).

The spelling of 20736000000000 in words is "twenty trillion, seven hundred thirty-six billion", and thus it is an aban number.