21344368267200 has 1344 divisors, whose sum is σ = 79045546475520. Its totient is φ = 4998868992000.

The previous prime is 21344368267093. The next prime is 21344368267207. The reversal of 21344368267200 is 276286344312.

It is a super-3 number, since 3×21344368267200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21344368267200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21344368267207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58159041417 + ... + 58159041783.

Almost surely, 2^{21344368267200} is an apocalyptic number.

21344368267200 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 21344368267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39522773237760).

21344368267200 is an abundant number, since it is smaller than the sum of its proper divisors (57701178208320).

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

21344368267200 is a wasteful number, since it uses less digits than its factorization.

21344368267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 21344368267200 in words is "twenty-one trillion, three hundred forty-four billion, three hundred sixty-eight million, two hundred sixty-seven thousand, two hundred".