20809143054336 has 1664 divisors, whose sum is σ = 73053759744000. Its totient is φ = 5229993000960.

The previous prime is 20809143054311. The next prime is 20809143054389. The reversal of 20809143054336 is 63345034190802.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132542312370 + ... + 132542312526.

Almost surely, 2^{20809143054336} is an apocalyptic number.

20809143054336 is a gapful number since it is divisible by the number (26) 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 20809143054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36526879872000).

20809143054336 is an abundant number, since it is smaller than the sum of its proper divisors (52244616689664).

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

20809143054336 is a wasteful number, since it uses less digits than its factorization.

20809143054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 20809143054336 in words is "twenty trillion, eight hundred nine billion, one hundred forty-three million, fifty-four thousand, three hundred thirty-six".