23245824000 has 896 divisors, whose sum is σ = 94215094272. Its totient is φ = 4974182400.

The previous prime is 23245823963. The next prime is 23245824013. The reversal of 23245824000 is 42854232.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 494591977 + ... + 494592023.

Almost surely, 2^23245824000 is an apocalyptic number.

23245824000 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 23245824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47107547136).

23245824000 is an abundant number, since it is smaller than the sum of its proper divisors (70969270272).

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

23245824000 is an equidigital number, since it uses as much as digits as its factorization.

23245824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 23245824000 in words is "twenty-three billion, two hundred forty-five million, eight hundred twenty-four thousand".