23463820800 has 1200 divisors, whose sum is σ = 102777520032. Its totient is φ = 5175705600.

The previous prime is 23463820781. The next prime is 23463820843. The reversal of 23463820800 is 802836432.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 384652770 + ... + 384652830.

Almost surely, 2^23463820800 is an apocalyptic number.

23463820800 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 23463820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51388760016).

23463820800 is an abundant number, since it is smaller than the sum of its proper divisors (79313699232).

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

23463820800 is an equidigital number, since it uses as much as digits as its factorization.

23463820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 23463820800 in words is "twenty-three billion, four hundred sixty-three million, eight hundred twenty thousand, eight hundred".