21367225305600 has 240 divisors, whose sum is σ = 71478788219520. Its totient is φ = 5625800294400.

The previous prime is 21367225305571. The next prime is 21367225305607. The reversal of 21367225305600 is 650352276312.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (21367225305607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488161 + ... + 6555360.

It is an arithmetic number, because the mean of its divisors is an integer number (297828284248).

Almost surely, 2^{21367225305600} is an apocalyptic number.

21367225305600 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 21367225305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35739394109760).

21367225305600 is an abundant number, since it is smaller than the sum of its proper divisors (50111562913920).

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

21367225305600 is an equidigital number, since it uses as much as digits as its factorization.

21367225305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043631 (or 7043610 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 21367225305600 in words is "twenty-one trillion, three hundred sixty-seven billion, two hundred twenty-five million, three hundred five thousand, six hundred".