21833832960 has 160 divisors (see below), whose sum is σ = 77555839680. Its totient is φ = 5822337024.

The previous prime is 21833832947. The next prime is 21833832961. The reversal of 21833832960 is 6923833812.

21833832960 is a `hidden beast` number, since 2 + 183 + 383 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21833832961) 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, 88822 + ... + 227061.

It is an arithmetic number, because the mean of its divisors is an integer number (484723998).

Almost surely, 2^21833832960 is an apocalyptic number.

21833832960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21833832960 is an abundant number, since it is smaller than the sum of its proper divisors (55722006720).

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

21833832960 is an equidigital number, since it uses as much as digits as its factorization.

21833832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315915 (or 315893 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 21833832960 in words is "twenty-one billion, eight hundred thirty-three million, eight hundred thirty-two thousand, nine hundred sixty".