5252960448000 has 960 divisors, whose sum is σ = 19628389452672. Its totient is φ = 1349133926400.

The previous prime is 5252960447971. The next prime is 5252960448007. The reversal of 5252960448000 is 8440692525.

5252960448000 is a `hidden beast` number, since 5 + 2 + 529 + 6 + 0 + 44 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252960448007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2195134804 + ... + 2195137196.

Almost surely, 2^{5252960448000} is an apocalyptic number.

5252960448000 is a gapful number since it is divisible by the number (50) 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 5252960448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814194726336).

5252960448000 is an abundant number, since it is smaller than the sum of its proper divisors (14375429004672).

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

5252960448000 is a wasteful number, since it uses less digits than its factorization.

5252960448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 5252960448000 in words is "five trillion, two hundred fifty-two billion, nine hundred sixty million, four hundred forty-eight thousand".