21300921600 has 216 divisors, whose sum is σ = 80340482880. Its totient is φ = 4868751360.

The previous prime is 21300921589. The next prime is 21300921611. The reversal of 21300921600 is 612900312.

It is an interprime number because it is at equal distance from previous prime (21300921589) and next prime (21300921611).

It is a super-2 number, since 2×21300921600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55156 + ... + 213644.

It is an arithmetic number, because the mean of its divisors is an integer number (371946680).

Almost surely, 2^21300921600 is an apocalyptic number.

21300921600 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 21300921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40170241440).

21300921600 is an abundant number, since it is smaller than the sum of its proper divisors (59039561280).

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

21300921600 is a wasteful number, since it uses less digits than its factorization.

21300921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158525 (or 158506 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 21300921600 in words is "twenty-one billion, three hundred million, nine hundred twenty-one thousand, six hundred".