21375064535200 has 288 divisors, whose sum is σ = 53215623482112. Its totient is φ = 8382735360000.

The previous prime is 21375064535129. The next prime is 21375064535207. The reversal of 21375064535200 is 253546057312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21375064535207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3475052125 + ... + 3475058275.

It is an arithmetic number, because the mean of its divisors is an integer number (184776470424).

Almost surely, 2^{21375064535200} is an apocalyptic number.

21375064535200 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 21375064535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26607811741056).

21375064535200 is an abundant number, since it is smaller than the sum of its proper divisors (31840558946912).

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

21375064535200 is a wasteful number, since it uses less digits than its factorization.

21375064535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6675 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 43.

The spelling of 21375064535200 in words is "twenty-one trillion, three hundred seventy-five billion, sixty-four million, five hundred thirty-five thousand, two hundred".