23188032000 has 1120 divisors, whose sum is σ = 100471497984. Its totient is φ = 5225472000.

The previous prime is 23188031987. The next prime is 23188032073. The reversal of 23188032000 is 23088132.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 326591965 + ... + 326592035.

Almost surely, 2^23188032000 is an apocalyptic number.

23188032000 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 23188032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50235748992).

23188032000 is an abundant number, since it is smaller than the sum of its proper divisors (77283465984).

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

23188032000 is an frugal number, since it uses more digits than its factorization.

23188032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 23188032000 in words is "twenty-three billion, one hundred eighty-eight million, thirty-two thousand".