21215426947200 has 960 divisors, whose sum is σ = 80953196163840. Its totient is φ = 5465594880000.

The previous prime is 21215426947199. The next prime is 21215426947237. The reversal of 21215426947200 is 274962451212.

21215426947200 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 542 + 69 + 47 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5552321290 + ... + 5552325110.

It is an arithmetic number, because the mean of its divisors is an integer number (84326246004).

Almost surely, 2^{21215426947200} is an apocalyptic number.

21215426947200 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 21215426947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40476598081920).

21215426947200 is an abundant number, since it is smaller than the sum of its proper divisors (59737769216640).

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

21215426947200 is a wasteful number, since it uses less digits than its factorization.

21215426947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21215426947200 in words is "twenty-one trillion, two hundred fifteen billion, four hundred twenty-six million, nine hundred forty-seven thousand, two hundred".