23966782000 has 480 divisors, whose sum is σ = 72825053184. Its totient is φ = 7606368000.

The previous prime is 23966781991. The next prime is 23966782009. The reversal of 23966782000 is 28766932.

It is an interprime number because it is at equal distance from previous prime (23966781991) and next prime (23966782009).

It is not an unprimeable number, because it can be changed into a prime (23966782009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773121985 + ... + 773122015.

Almost surely, 2^23966782000 is an apocalyptic number.

23966782000 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 23966782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412526592).

23966782000 is an abundant number, since it is smaller than the sum of its proper divisors (48858271184).

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

23966782000 is an frugal number, since it uses more digits than its factorization.

23966782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 23966782000 in words is "twenty-three billion, nine hundred sixty-six million, seven hundred eighty-two thousand".