23873587200 has 432 divisors, whose sum is σ = 86501338560. Its totient is φ = 6291947520.

The previous prime is 23873587183. The next prime is 23873587201. The reversal of 23873587200 is 278537832.

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 (23873587201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47462149 + ... + 47462651.

It is an arithmetic number, because the mean of its divisors is an integer number (200234580).

Almost surely, 2^23873587200 is an apocalyptic number.

23873587200 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 23873587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43250669280).

23873587200 is an abundant number, since it is smaller than the sum of its proper divisors (62627751360).

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

23873587200 is a wasteful number, since it uses less digits than its factorization.

23873587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 23873587200 in words is "twenty-three billion, eight hundred seventy-three million, five hundred eighty-seven thousand, two hundred".