21324160032 has 96 divisors (see below), whose sum is σ = 64402128000. Its totient is φ = 6051698688.

The previous prime is 21324160031. The next prime is 21324160043. The reversal of 21324160032 is 23006142312.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 21324159984 and 21324160011.

It is not an unprimeable number, because it can be changed into a prime (21324160031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6357 + ... + 206612.

It is an arithmetic number, because the mean of its divisors is an integer number (670855500).

Almost surely, 2^21324160032 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 21324160032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32201064000).

21324160032 is an abundant number, since it is smaller than the sum of its proper divisors (43077967968).

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

21324160032 is a wasteful number, since it uses less digits than its factorization.

21324160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213138 (or 213130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 21324160032 in words is "twenty-one billion, three hundred twenty-four million, one hundred sixty thousand, thirty-two".