21462755328 has 576 divisors, whose sum is σ = 75411423360. Its totient is φ = 5971968000.

The previous prime is 21462755297. The next prime is 21462755329. The reversal of 21462755328 is 82355726412.

21462755328 is a `hidden beast` number, since 2 + 1 + 46 + 2 + 75 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21462755329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212502478 + ... + 212502578.

It is an arithmetic number, because the mean of its divisors is an integer number (130922610).

Almost surely, 2^21462755328 is an apocalyptic number.

21462755328 is a gapful number since it is divisible by the number (28) 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 21462755328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37705711680).

21462755328 is an abundant number, since it is smaller than the sum of its proper divisors (53948668032).

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

21462755328 is an equidigital number, since it uses as much as digits as its factorization.

21462755328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 21462755328 in words is "twenty-one billion, four hundred sixty-two million, seven hundred fifty-five thousand, three hundred twenty-eight".