21160006543200 has 288 divisors, whose sum is σ = 79088295525120. Its totient is φ = 4813649971200.

The previous prime is 21160006543183. The next prime is 21160006543213. The reversal of 21160006543200 is 234560006112.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 560146 + ... + 6529454.

It is an arithmetic number, because the mean of its divisors is an integer number (274612137240).

Almost surely, 2^{21160006543200} is an apocalyptic number.

21160006543200 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 21160006543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39544147762560).

21160006543200 is an abundant number, since it is smaller than the sum of its proper divisors (57928288981920).

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

21160006543200 is a wasteful number, since it uses less digits than its factorization.

21160006543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969550 (or 5969537 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 21160006543200 its reverse (234560006112), we get a palindrome (21394566549312).

The spelling of 21160006543200 in words is "twenty-one trillion, one hundred sixty billion, six million, five hundred forty-three thousand, two hundred".