527948668576 has 72 divisors (see below), whose sum is σ = 1211791209300. Its totient is φ = 225759485952.

The previous prime is 527948668573. The next prime is 527948668601. The reversal of 527948668576 is 675866849725.

It can be written as a sum of positive squares in 2 ways, for example, as 527337392400 + 611276176 = 726180^2 + 24724^2 .

It is a super-3 number, since 3×527948668576³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 527948668499 and 527948668508.

It is not an unprimeable number, because it can be changed into a prime (527948668571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329086 + ... + 1078978.

Almost surely, 2^527948668576 is an apocalyptic number.

527948668576 is a gapful number since it is divisible by the number (56) 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 527948668576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605895604650).

527948668576 is an abundant number, since it is smaller than the sum of its proper divisors (683842540724).

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

527948668576 is a wasteful number, since it uses less digits than its factorization.

527948668576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750366 (or 750351 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 73.

The spelling of 527948668576 in words is "five hundred twenty-seven billion, nine hundred forty-eight million, six hundred sixty-eight thousand, five hundred seventy-six".