21130677676200 has 192 divisors, whose sum is σ = 67820387342400. Its totient is φ = 5436006912000.

The previous prime is 21130677676187. The next prime is 21130677676217. The reversal of 21130677676200 is 267677603112.

It is a self number, because there is not a number n which added to its sum of digits gives 21130677676200.

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 47 ways as a sum of consecutive naturals, for example, 20391819 + ... + 21402981.

It is an arithmetic number, because the mean of its divisors is an integer number (353231184075).

Almost surely, 2^{21130677676200} is an apocalyptic number.

21130677676200 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 21130677676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33910193671200).

21130677676200 is an abundant number, since it is smaller than the sum of its proper divisors (46689709666200).

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

21130677676200 is a wasteful number, since it uses less digits than its factorization.

21130677676200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012412 (or 1012403 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 21130677676200 in words is "twenty-one trillion, one hundred thirty billion, six hundred seventy-seven million, six hundred seventy-six thousand, two hundred".