23730105876480 has 1600 divisors, whose sum is σ = 91644179932800. Its totient is φ = 5859811786752.

The previous prime is 23730105876469. The next prime is 23730105876481. The reversal of 23730105876480 is 8467850103732.

It is a happy number.

23730105876480 is a `hidden beast` number, since 2 + 3 + 7 + 3 + 0 + 10 + 587 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23730105876481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210000936904 + ... + 210000937016.

It is an arithmetic number, because the mean of its divisors is an integer number (57277612458).

Almost surely, 2^{23730105876480} is an apocalyptic number.

23730105876480 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 23730105876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45822089966400).

23730105876480 is an abundant number, since it is smaller than the sum of its proper divisors (67914074056320).

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

23730105876480 is an frugal number, since it uses more digits than its factorization.

23730105876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 23730105876480 in words is "twenty-three trillion, seven hundred thirty billion, one hundred five million, eight hundred seventy-six thousand, four hundred eighty".