21528531827712 has 1584 divisors, whose sum is σ = 82955484498432. Its totient is φ = 5427443957760.

The previous prime is 21528531827629. The next prime is 21528531827729. The reversal of 21528531827712 is 21772813582512.

21528531827712 is a `hidden beast` number, since 2 + 1 + 5 + 28 + 531 + 8 + 2 + 77 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14061744387 + ... + 14061745917.

Almost surely, 2^{21528531827712} 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 21528531827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477742249216).

21528531827712 is an abundant number, since it is smaller than the sum of its proper divisors (61426952670720).

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

21528531827712 is an equidigital number, since it uses as much as digits as its factorization.

21528531827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1579 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 21528531827712 in words is "twenty-one trillion, five hundred twenty-eight billion, five hundred thirty-one million, eight hundred twenty-seven thousand, seven hundred twelve".