20586033664 has 180 divisors, whose sum is σ = 50520300534. Its totient is φ = 8354562048.

The previous prime is 20586033659. The next prime is 20586033679. The reversal of 20586033664 is 46633068502.

It can be written as a sum of positive squares in only one way, i.e., 13698361600 + 6887672064 = 117040^2 + 82992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20586033664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9055632 + ... + 9057904.

Almost surely, 2^20586033664 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 20586033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260150267).

20586033664 is an abundant number, since it is smaller than the sum of its proper divisors (29934266870).

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

20586033664 is an equidigital number, since it uses as much as digits as its factorization.

20586033664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 20586033664 in words is "twenty billion, five hundred eighty-six million, thirty-three thousand, six hundred sixty-four".