21375148032 has 336 divisors, whose sum is σ = 71560944000. Its totient is φ = 6021513216.

The previous prime is 21375148021. The next prime is 21375148057. The reversal of 21375148032 is 23084157312.

21375148032 is a `hidden beast` number, since 2 + 1 + 37 + 514 + 80 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42835719 + ... + 42836217.

It is an arithmetic number, because the mean of its divisors is an integer number (212979000).

Almost surely, 2^21375148032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21375148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35780472000).

21375148032 is an abundant number, since it is smaller than the sum of its proper divisors (50185795968).

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

21375148032 is an equidigital number, since it uses as much as digits as its factorization.

21375148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 21375148032 in words is "twenty-one billion, three hundred seventy-five million, one hundred forty-eight thousand, thirty-two".