527603599147968 has 672 divisors, whose sum is σ = 1875183585200640. Its totient is φ = 138470548930560.

The previous prime is 527603599147883. The next prime is 527603599147997. The reversal of 527603599147968 is 869741995306725.

527603599147968 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 0 + 3 + 59 + 91 + 479 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450713188 + ... + 451882268.

It is a 1-persistent number, because it is pandigital, but 2⋅527603599147968 = 1055207198295936 is not.

Almost surely, 2^{527603599147968} 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 527603599147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937591792600320).

527603599147968 is an abundant number, since it is smaller than the sum of its proper divisors (1347579986052672).

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

527603599147968 is a wasteful number, since it uses less digits than its factorization.

527603599147968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169305 (or 1169292 counting only the distinct ones).

The product of its (nonzero) digits is 6172588800, while the sum is 81.

The spelling of 527603599147968 in words is "five hundred twenty-seven trillion, six hundred three billion, five hundred ninety-nine million, one hundred forty-seven thousand, nine hundred sixty-eight".