21667361587200 has 2850 divisors, whose sum is σ = 99152065874466. Its totient is φ = 4661213921280.

The previous prime is 21667361587199. The next prime is 21667361587241. The reversal of 21667361587200 is 278516376612.

21667361587200 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 7 + 36 + 1 + 587 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3262849744896 + 18404511842304 = 1806336^2 + 4290048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1274550681592 + ... + 1274550681608.

Almost surely, 2^{21667361587200} is an apocalyptic number.

21667361587200 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 21667361587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49576032937233).

21667361587200 is an abundant number, since it is smaller than the sum of its proper divisors (77484704287266).

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

21667361587200 is an frugal number, since it uses more digits than its factorization.

21667361587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 21667361587200 in words is "twenty-one trillion, six hundred sixty-seven billion, three hundred sixty-one million, five hundred eighty-seven thousand, two hundred".