21832528032 has 288 divisors, whose sum is σ = 72643858560. Its totient is φ = 6090946560.

The previous prime is 21832527991. The next prime is 21832528049. The reversal of 21832528032 is 23082523812.

It is a happy number.

21832528032 is a `hidden beast` number, since 21 + 8 + 325 + 280 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20576782 + ... + 20577842.

It is an arithmetic number, because the mean of its divisors is an integer number (252235620).

Almost surely, 2^21832528032 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 21832528032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36321929280).

21832528032 is an abundant number, since it is smaller than the sum of its proper divisors (50811330528).

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

21832528032 is a wasteful number, since it uses less digits than its factorization.

21832528032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 21832528032 in words is "twenty-one billion, eight hundred thirty-two million, five hundred twenty-eight thousand, thirty-two".