21329360494200 has 960 divisors, whose sum is σ = 83023416875520. Its totient is φ = 5030387712000.

The previous prime is 21329360494159. The next prime is 21329360494201. The reversal of 21329360494200 is 249406392312.

21329360494200 is a `hidden beast` number, since 2 + 1 + 32 + 9 + 3 + 604 + 9 + 4 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21329360494201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1969282785 + ... + 1969293615.

It is an arithmetic number, because the mean of its divisors is an integer number (86482725912).

Almost surely, 2^{21329360494200} is an apocalyptic number.

21329360494200 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 21329360494200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41511708437760).

21329360494200 is an abundant number, since it is smaller than the sum of its proper divisors (61694056381320).

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

21329360494200 is a wasteful number, since it uses less digits than its factorization.

21329360494200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11170 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 21329360494200 in words is "twenty-one trillion, three hundred twenty-nine billion, three hundred sixty million, four hundred ninety-four thousand, two hundred".