21364237255600 has 120 divisors (see below), whose sum is σ = 53217368267760. Its totient is φ = 8232388469760.

The previous prime is 21364237255591. The next prime is 21364237255601. The reversal of 21364237255600 is 655273246312.

It is a super-4 number, since 4×21364237255600⁴ (a number of 54 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (21364237255601) 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, 3060082 + ... + 7217518.

It is an arithmetic number, because the mean of its divisors is an integer number (443478068898).

Almost surely, 2^{21364237255600} is an apocalyptic number.

21364237255600 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 21364237255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608684133880).

21364237255600 is an abundant number, since it is smaller than the sum of its proper divisors (31853131012160).

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

21364237255600 is a wasteful number, since it uses less digits than its factorization.

21364237255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157927 (or 4157916 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 21364237255600 in words is "twenty-one trillion, three hundred sixty-four billion, two hundred thirty-seven million, two hundred fifty-five thousand, six hundred".