21826120032 has 192 divisors, whose sum is σ = 66195057600. Its totient is φ = 7077901824.

The previous prime is 21826120013. The next prime is 21826120039. The reversal of 21826120032 is 23002162812.

21826120032 is a `hidden beast` number, since 2 + 18 + 2 + 612 + 0 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21826119978 and 21826120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21826120039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585194 + ... + 2593622.

It is an arithmetic number, because the mean of its divisors is an integer number (344765925).

Almost surely, 2^21826120032 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 21826120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33097528800).

21826120032 is an abundant number, since it is smaller than the sum of its proper divisors (44368937568).

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

21826120032 is an frugal number, since it uses more digits than its factorization.

21826120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21826120032 its reverse (23002162812), we get a palindrome (44828282844).

The spelling of 21826120032 in words is "twenty-one billion, eight hundred twenty-six million, one hundred twenty thousand, thirty-two".