21953452032 has 288 divisors, whose sum is σ = 67922749440. Its totient is φ = 7076782080.

The previous prime is 21953452007. The next prime is 21953452051. The reversal of 21953452032 is 23025435912.

21953452032 is a `hidden beast` number, since 21 + 95 + 345 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21953452032² (a number of 21 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15426873 + ... + 15428295.

It is an arithmetic number, because the mean of its divisors is an integer number (235842880).

Almost surely, 2^21953452032 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 21953452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33961374720).

21953452032 is an abundant number, since it is smaller than the sum of its proper divisors (45969297408).

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

21953452032 is an equidigital number, since it uses as much as digits as its factorization.

21953452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 21953452032 its reverse (23025435912), we get a palindrome (44978887944).

The spelling of 21953452032 in words is "twenty-one billion, nine hundred fifty-three million, four hundred fifty-two thousand, thirty-two".