20867117718720 has 1344 divisors, whose sum is σ = 86854910034816. Its totient is φ = 4202672947200.

The previous prime is 20867117718719. The next prime is 20867117718787. The reversal of 20867117718720 is 2781771176802.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 1199182020 + ... + 1199199420.

It is an arithmetic number, because the mean of its divisors is an integer number (64624189014).

Almost surely, 2^{20867117718720} is an apocalyptic number.

20867117718720 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 20867117718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43427455017408).

20867117718720 is an abundant number, since it is smaller than the sum of its proper divisors (65987792316096).

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

20867117718720 is a wasteful number, since it uses less digits than its factorization.

20867117718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17538 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 57.

The spelling of 20867117718720 in words is "twenty trillion, eight hundred sixty-seven billion, one hundred seventeen million, seven hundred eighteen thousand, seven hundred twenty".