21008000832 has 224 divisors, whose sum is σ = 68644568832. Its totient is φ = 5521637376.

The previous prime is 21008000831. The next prime is 21008000851. The reversal of 21008000832 is 23800080012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21008000831) 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, 5536728 + ... + 5540520.

It is an arithmetic number, because the mean of its divisors is an integer number (306448968).

Almost surely, 2^21008000832 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 21008000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34322284416).

21008000832 is an abundant number, since it is smaller than the sum of its proper divisors (47636568000).

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

21008000832 is a wasteful number, since it uses less digits than its factorization.

21008000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 21008000832 its reverse (23800080012), we get a palindrome (44808080844).

The spelling of 21008000832 in words is "twenty-one billion, eight million, eight hundred thirty-two", and thus it is an aban number.