23641552000 has 128 divisors (see below), whose sum is σ = 64122814080. Its totient is φ = 8596864000.

The previous prime is 23641551977. The next prime is 23641552049. The reversal of 23641552000 is 25514632.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23641552000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108837 + ... + 243163.

It is an arithmetic number, because the mean of its divisors is an integer number (500959485).

Almost surely, 2^23641552000 is an apocalyptic number.

23641552000 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 23641552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32061407040).

23641552000 is an abundant number, since it is smaller than the sum of its proper divisors (40481262080).

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

23641552000 is a wasteful number, since it uses less digits than its factorization.

23641552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134367 (or 134345 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 23641552000 in words is "twenty-three billion, six hundred forty-one million, five hundred fifty-two thousand".