20205997764732 has 144 divisors (see below), whose sum is σ = 56052031377888. Its totient is φ = 6098946347520.

The previous prime is 20205997764727. The next prime is 20205997764739. The reversal of 20205997764732 is 23746779950202.

20205997764732 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 5 + 9 + 97 + 76 + 473 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20205997764732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20205997764739) by changing a digit.

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, 162925098 + ... + 163049070.

It is an arithmetic number, because the mean of its divisors is an integer number (389250217902).

Almost surely, 2^{20205997764732} 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 20205997764732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28026015688944).

20205997764732 is an abundant number, since it is smaller than the sum of its proper divisors (35846033613156).

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

20205997764732 is a wasteful number, since it uses less digits than its factorization.

20205997764732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130620 (or 130615 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 20205997764732 in words is "twenty trillion, two hundred five billion, nine hundred ninety-seven million, seven hundred sixty-four thousand, seven hundred thirty-two".