21915882105200 has 120 divisors (see below), whose sum is σ = 55768402580400. Its totient is φ = 8247981772800.

The previous prime is 21915882105193. The next prime is 21915882105241. The reversal of 21915882105200 is 250128851912.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20288351 + ... + 21341249.

It is an arithmetic number, because the mean of its divisors is an integer number (464736688170).

Almost surely, 2^{21915882105200} is an apocalyptic number.

21915882105200 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 21915882105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27884201290200).

21915882105200 is an abundant number, since it is smaller than the sum of its proper divisors (33852520475200).

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

21915882105200 is a wasteful number, since it uses less digits than its factorization.

21915882105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055995 (or 1055984 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 44.

The spelling of 21915882105200 in words is "twenty-one trillion, nine hundred fifteen billion, eight hundred eighty-two million, one hundred five thousand, two hundred".