23124631680 has 320 divisors, whose sum is σ = 84348190080. Its totient is φ = 6034728960.

The previous prime is 23124631679. The next prime is 23124631693. The reversal of 23124631680 is 8613642132.

23124631680 is a `hidden beast` number, since 2 + 3 + 12 + 4 + 631 + 6 + 8 + 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 39 ways as a sum of consecutive naturals, for example, 2431735 + ... + 2441225.

It is an arithmetic number, because the mean of its divisors is an integer number (263588094).

Almost surely, 2^23124631680 is an apocalyptic number.

23124631680 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 23124631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42174095040).

23124631680 is an abundant number, since it is smaller than the sum of its proper divisors (61223558400).

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

23124631680 is an equidigital number, since it uses as much as digits as its factorization.

23124631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9548 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23124631680 in words is "twenty-three billion, one hundred twenty-four million, six hundred thirty-one thousand, six hundred eighty".