21468492595200 has 2112 divisors, whose sum is σ = 91070464831488. Its totient is φ = 4348654387200.

The previous prime is 21468492595141. The next prime is 21468492595201. The reversal of 21468492595200 is 259529486412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21468492595201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 580229529582 + ... + 580229529618.

Almost surely, 2^{21468492595200} is an apocalyptic number.

21468492595200 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 21468492595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535232415744).

21468492595200 is an abundant number, since it is smaller than the sum of its proper divisors (69601972236288).

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

21468492595200 is an frugal number, since it uses more digits than its factorization.

21468492595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 21468492595200 in words is "twenty-one trillion, four hundred sixty-eight billion, four hundred ninety-two million, five hundred ninety-five thousand, two hundred".