20809079511552 has 1280 divisors, whose sum is σ = 66671572746240. Its totient is φ = 6478749204480.

The previous prime is 20809079511551. The next prime is 20809079511559. The reversal of 20809079511552 is 25511597090802.

20809079511552 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 9 + 0 + 79 + 5 + 11 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20809079511551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163851019713 + ... + 163851019839.

It is an arithmetic number, because the mean of its divisors is an integer number (52087166208).

Almost surely, 2^{20809079511552} 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 20809079511552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33335786373120).

20809079511552 is an abundant number, since it is smaller than the sum of its proper divisors (45862493234688).

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

20809079511552 is an frugal number, since it uses more digits than its factorization.

20809079511552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 20809079511552 in words is "twenty trillion, eight hundred nine billion, seventy-nine million, five hundred eleven thousand, five hundred fifty-two".