23212638720 has 320 divisors, whose sum is σ = 84474593280. Its totient is φ = 6038323200.

The previous prime is 23212638671. The next prime is 23212638733. The reversal of 23212638720 is 2783621232.

23212638720 is a `hidden beast` number, since 2 + 3 + 2 + 12 + 638 + 7 + 2 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829825 + ... + 2838015.

It is an arithmetic number, because the mean of its divisors is an integer number (263983104).

Almost surely, 2^23212638720 is an apocalyptic number.

23212638720 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 23212638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42237296640).

23212638720 is an abundant number, since it is smaller than the sum of its proper divisors (61261954560).

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

23212638720 is an equidigital number, since it uses as much as digits as its factorization.

23212638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23212638720 in words is "twenty-three billion, two hundred twelve million, six hundred thirty-eight thousand, seven hundred twenty".