21528618048 has 672 divisors, whose sum is σ = 77310203520. Its totient is φ = 5925685248.

The previous prime is 21528618047. The next prime is 21528618061. The reversal of 21528618048 is 84081682512.

21528618048 is a `hidden beast` number, since 2 + 1 + 5 + 28 + 618 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 21528617994 and 21528618012.

It is not an unprimeable number, because it can be changed into a prime (21528618043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294912540 + ... + 294912612.

Almost surely, 2^21528618048 is an apocalyptic number.

21528618048 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 21528618048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38655101760).

21528618048 is an abundant number, since it is smaller than the sum of its proper divisors (55781585472).

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

21528618048 is an frugal number, since it uses more digits than its factorization.

21528618048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 21528618048 in words is "twenty-one billion, five hundred twenty-eight million, six hundred eighteen thousand, forty-eight".