2325552768000 has 2112 divisors, whose sum is σ = 10846292760576. Its totient is φ = 482734080000.

The previous prime is 2325552767959. The next prime is 2325552768029. The reversal of 2325552768000 is 8672555232.

2325552768000 is a `hidden beast` number, since 2 + 3 + 25 + 552 + 76 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2395007515 + ... + 2395008485.

Almost surely, 2^{2325552768000} is an apocalyptic number.

2325552768000 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 2325552768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423146380288).

2325552768000 is an abundant number, since it is smaller than the sum of its proper divisors (8520739992576).

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

2325552768000 is an equidigital number, since it uses as much as digits as its factorization.

2325552768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2325552768000 in words is "two trillion, three hundred twenty-five billion, five hundred fifty-two million, seven hundred sixty-eight thousand".