21825752832 has 288 divisors, whose sum is σ = 69828763200. Its totient is φ = 6684622848.

The previous prime is 21825752831. The next prime is 21825752869. The reversal of 21825752832 is 23825752812.

21825752832 is a `hidden beast` number, since 21 + 8 + 2 + 575 + 28 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21825752831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26327394 + ... + 26328222.

Almost surely, 2^21825752832 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 21825752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34914381600).

21825752832 is an abundant number, since it is smaller than the sum of its proper divisors (48003010368).

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

21825752832 is a wasteful number, since it uses less digits than its factorization.

21825752832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1140 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 21825752832 in words is "twenty-one billion, eight hundred twenty-five million, seven hundred fifty-two thousand, eight hundred thirty-two".