5289501009960 has 192 divisors, whose sum is σ = 17559817217280. Its totient is φ = 1380272555520.

The previous prime is 5289501009907. The next prime is 5289501009967. The reversal of 5289501009960 is 699001059825.

5289501009960 is a `hidden beast` number, since 52 + 89 + 501 + 0 + 0 + 9 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5289501009897 and 5289501009906.

It is not an unprimeable number, because it can be changed into a prime (5289501009967) 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 47 ways as a sum of consecutive naturals, for example, 105064954 + ... + 105115286.

It is an arithmetic number, because the mean of its divisors is an integer number (91457381340).

Almost surely, 2^{5289501009960} 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 5289501009960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8779908608640).

5289501009960 is an abundant number, since it is smaller than the sum of its proper divisors (12270316207320).

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

5289501009960 is a wasteful number, since it uses less digits than its factorization.

5289501009960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56608 (or 56601 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 5289501009960 in words is "five trillion, two hundred eighty-nine billion, five hundred one million, nine thousand, nine hundred sixty".