5089975148448 has 288 divisors, whose sum is σ = 15552475061760. Its totient is φ = 1576266117120.

The previous prime is 5089975148443. The next prime is 5089975148539. The reversal of 5089975148448 is 8448415799805.

5089975148448 is a `hidden beast` number, since 5 + 0 + 8 + 9 + 97 + 51 + 48 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5089975148443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20410173 + ... + 20658051.

It is an arithmetic number, because the mean of its divisors is an integer number (54001649520).

Almost surely, 2^{5089975148448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5089975148448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776237530880).

5089975148448 is an abundant number, since it is smaller than the sum of its proper divisors (10462499913312).

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

5089975148448 is a wasteful number, since it uses less digits than its factorization.

5089975148448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248020 (or 248009 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 72.

The spelling of 5089975148448 in words is "five trillion, eighty-nine billion, nine hundred seventy-five million, one hundred forty-eight thousand, four hundred forty-eight".