20871318988800 has 4032 divisors, whose sum is σ = 97183339868160. Its totient is φ = 4334215495680.

The previous prime is 20871318988789. The next prime is 20871318988831. The reversal of 20871318988800 is 888981317802.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×20871318988800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 164341094337 + ... + 164341094463.

It is an arithmetic number, because the mean of its divisors is an integer number (24103010880).

Almost surely, 2^{20871318988800} is an apocalyptic number.

20871318988800 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 20871318988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591669934080).

20871318988800 is an abundant number, since it is smaller than the sum of its proper divisors (76312020879360).

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

20871318988800 is a wasteful number, since it uses less digits than its factorization.

20871318988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 20871318988800 in words is "twenty trillion, eight hundred seventy-one billion, three hundred eighteen million, nine hundred eighty-eight thousand, eight hundred".