23376880800 has 864 divisors, whose sum is σ = 105977592000. Its totient is φ = 4929361920.

The previous prime is 23376880771. The next prime is 23376880801. The reversal of 23376880800 is 808867332.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (23376880801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13758351 + ... + 13760049.

It is an arithmetic number, because the mean of its divisors is an integer number (122659250).

Almost surely, 2^23376880800 is an apocalyptic number.

23376880800 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 23376880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52988796000).

23376880800 is an abundant number, since it is smaller than the sum of its proper divisors (82600711200).

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

23376880800 is a wasteful number, since it uses less digits than its factorization.

23376880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 23376880800 in words is "twenty-three billion, three hundred seventy-six million, eight hundred eighty thousand, eight hundred".