20317315200 has 576 divisors, whose sum is σ = 82862107200. Its totient is φ = 4284334080.

The previous prime is 20317315141. The next prime is 20317315217. The reversal of 20317315200 is 251371302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11355906 + ... + 11357694.

It is an arithmetic number, because the mean of its divisors is an integer number (143857825).

Almost surely, 2^20317315200 is an apocalyptic number.

20317315200 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 20317315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41431053600).

20317315200 is an abundant number, since it is smaller than the sum of its proper divisors (62544792000).

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

20317315200 is a wasteful number, since it uses less digits than its factorization.

20317315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 20317315200 its reverse (251371302), we get a palindrome (20568686502).

The spelling of 20317315200 in words is "twenty billion, three hundred seventeen million, three hundred fifteen thousand, two hundred".