21430563663300 has 144 divisors (see below), whose sum is σ = 67676544798912. Its totient is φ = 5192685017600.

The previous prime is 21430563663293. The next prime is 21430563663307. The reversal of 21430563663300 is 336636503412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21430563663293) and next prime (21430563663307).

It is not an unprimeable number, because it can be changed into a prime (21430563663307) by changing a digit.

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, 4964134 + ... + 8216066.

It is an arithmetic number, because the mean of its divisors is an integer number (469976005548).

Almost surely, 2^{21430563663300} is an apocalyptic number.

21430563663300 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 21430563663300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33838272399456).

21430563663300 is an abundant number, since it is smaller than the sum of its proper divisors (46245981135612).

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

21430563663300 is a wasteful number, since it uses less digits than its factorization.

21430563663300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253958 (or 3253951 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 21430563663300 in words is "twenty-one trillion, four hundred thirty billion, five hundred sixty-three million, six hundred sixty-three thousand, three hundred".