527518604448 has 648 divisors, whose sum is σ = 1785075197724. Its totient is φ = 147146588160.

The previous prime is 527518604411. The next prime is 527518604453. The reversal of 527518604448 is 844406815725.

527518604448 is a `hidden beast` number, since 5 + 27 + 5 + 1 + 8 + 604 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 317838867984 + 209679736464 = 563772^2 + 457908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 527518604394 and 527518604403.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1664096386 + ... + 1664096702.

Almost surely, 2^527518604448 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 527518604448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892537598862).

527518604448 is an abundant number, since it is smaller than the sum of its proper divisors (1257556593276).

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

527518604448 is a wasteful number, since it uses less digits than its factorization.

527518604448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 527518604448 in words is "five hundred twenty-seven billion, five hundred eighteen million, six hundred four thousand, four hundred forty-eight".