21116643514200 has 288 divisors, whose sum is σ = 79692378423840. Its totient is φ = 4971945369600.

The previous prime is 21116643514181. The next prime is 21116643514273. The reversal of 21116643514200 is 241534661112.

21116643514200 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 6 + 435 + 14 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19079641 + ... + 20156040.

It is an arithmetic number, because the mean of its divisors is an integer number (276709647305).

Almost surely, 2^{21116643514200} is an apocalyptic number.

21116643514200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21116643514200 is an abundant number, since it is smaller than the sum of its proper divisors (58575734909640).

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

21116643514200 is a wasteful number, since it uses less digits than its factorization.

21116643514200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39235739 (or 39235727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21116643514200 in words is "twenty-one trillion, one hundred sixteen billion, six hundred forty-three million, five hundred fourteen thousand, two hundred".