527563984896 has 585 divisors, whose sum is σ = 1724316086691. Its totient is φ = 160653901824.

The previous prime is 527563984889. The next prime is 527563984897. The reversal of 527563984896 is 698489365725.

It is a happy number.

The square root of 527563984896 is 726336.

It is a perfect power (a square), and thus also a powerful number.

527563984896 is a `hidden beast` number, since 5 + 2 + 7 + 56 + 3 + 98 + 489 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96387895296 + 431176089600 = 310464^2 + 656640^2 .

It is a super-2 number, since 2×527563984896² (a number of 24 digits) contains 22 as substring.

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

Its product of digits (783820800) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (527563984897) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5438803920 + ... + 5438804016.

Almost surely, 2^527563984896 is an apocalyptic number.

527563984896 is the 726336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527563984896

527563984896 is an abundant number, since it is smaller than the sum of its proper divisors (1196752101795).

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

527563984896 is an frugal number, since it uses more digits than its factorization.

527563984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 115 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 527563984896 in words is "five hundred twenty-seven billion, five hundred sixty-three million, nine hundred eighty-four thousand, eight hundred ninety-six".