21532213480960 has 1280 divisors, whose sum is σ = 67383007211520. Its totient is φ = 6418087280640.

The previous prime is 21532213480951. The next prime is 21532213480961. The reversal of 21532213480960 is 6908431223512.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 21532213480960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21532213480961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42302973186 + ... + 42302973694.

It is an arithmetic number, because the mean of its divisors is an integer number (52642974384).

Almost surely, 2^{21532213480960} is an apocalyptic number.

21532213480960 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 21532213480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33691503605760).

21532213480960 is an abundant number, since it is smaller than the sum of its proper divisors (45850793730560).

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

21532213480960 is a wasteful number, since it uses less digits than its factorization.

21532213480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 21532213480960 in words is "twenty-one trillion, five hundred thirty-two billion, two hundred thirteen million, four hundred eighty thousand, nine hundred sixty".