23821432320 has 320 divisors, whose sum is σ = 88819315200. Its totient is φ = 5444296704.

The previous prime is 23821432309. The next prime is 23821432321. The reversal of 23821432320 is 2323412832.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23821432321) 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, 2629719 + ... + 2638761.

It is an arithmetic number, because the mean of its divisors is an integer number (277560360).

Almost surely, 2^23821432320 is an apocalyptic number.

23821432320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23821432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44409657600).

23821432320 is an abundant number, since it is smaller than the sum of its proper divisors (64997882880).

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

23821432320 is an frugal number, since it uses more digits than its factorization.

23821432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 23821432320 in words is "twenty-three billion, eight hundred twenty-one million, four hundred thirty-two thousand, three hundred twenty".