21416893312320 has 672 divisors, whose sum is σ = 83171244514176. Its totient is φ = 5013091123200.

The previous prime is 21416893312259. The next prime is 21416893312349. The reversal of 21416893312320 is 2321339861412.

It is a happy number.

21416893312320 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 6 + 8 + 9 + 3 + 312 + 320 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 125906367 + ... + 126076353.

It is an arithmetic number, because the mean of its divisors is an integer number (123766732908).

Almost surely, 2^{21416893312320} is an apocalyptic number.

21416893312320 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 21416893312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41585622257088).

21416893312320 is an abundant number, since it is smaller than the sum of its proper divisors (61754351201856).

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

21416893312320 is a wasteful number, since it uses less digits than its factorization.

21416893312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170159 (or 170146 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21416893312320 in words is "twenty-one trillion, four hundred sixteen billion, eight hundred ninety-three million, three hundred twelve thousand, three hundred twenty".