23885729638320 has 640 divisors, whose sum is σ = 82500776755200. Its totient is φ = 5668368076800.

The previous prime is 23885729638259. The next prime is 23885729638321. The reversal of 23885729638320 is 2383692758832.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (23885729638321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24102653025 + ... + 24102654015.

It is an arithmetic number, because the mean of its divisors is an integer number (128907463680).

Almost surely, 2^{23885729638320} is an apocalyptic number.

23885729638320 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 23885729638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41250388377600).

23885729638320 is an abundant number, since it is smaller than the sum of its proper divisors (58615047116880).

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

23885729638320 is a wasteful number, since it uses less digits than its factorization.

23885729638320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 23885729638320 in words is "twenty-three trillion, eight hundred eighty-five billion, seven hundred twenty-nine million, six hundred thirty-eight thousand, three hundred twenty".