21857168806200 has 1440 divisors, whose sum is σ = 96239773697760. Its totient is φ = 4498982092800.

The previous prime is 21857168806199. The next prime is 21857168806223. The reversal of 21857168806200 is 260886175812.

21857168806200 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 7 + 1 + 6 + 8 + 8 + 0 + 620 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 785734692 + ... + 785762508.

It is an arithmetic number, because the mean of its divisors is an integer number (66833176179).

Almost surely, 2^{21857168806200} is an apocalyptic number.

21857168806200 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 21857168806200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48119886848880).

21857168806200 is an abundant number, since it is smaller than the sum of its proper divisors (74382604891560).

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

21857168806200 is a wasteful number, since it uses less digits than its factorization.

21857168806200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27919 (or 27888 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 21857168806200 in words is "twenty-one trillion, eight hundred fifty-seven billion, one hundred sixty-eight million, eight hundred six thousand, two hundred".