23785850880 has 864 divisors, whose sum is σ = 95158627200. Its totient is φ = 5693276160.

The previous prime is 23785850863. The next prime is 23785850887. The reversal of 23785850880 is 8805858732.

It is a happy number.

23785850880 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 58 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (23785850887) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301086681 + ... + 301086759.

It is an arithmetic number, because the mean of its divisors is an integer number (110137300).

Almost surely, 2^23785850880 is an apocalyptic number.

23785850880 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 23785850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47579313600).

23785850880 is an abundant number, since it is smaller than the sum of its proper divisors (71372776320).

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

23785850880 is an equidigital number, since it uses as much as digits as its factorization.

23785850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 23785850880 in words is "twenty-three billion, seven hundred eighty-five million, eight hundred fifty thousand, eight hundred eighty".