527144878080 has 576 divisors, whose sum is σ = 1942794774180. Its totient is φ = 132196073472.

The previous prime is 527144878033. The next prime is 527144878123. The reversal of 527144878080 is 80878441725.

527144878080 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 4 + 487 + 80 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 436741226496 + 90403651584 = 660864^2 + 300672^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 426147222 + ... + 426148458.

Almost surely, 2^527144878080 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 527144878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971397387090).

527144878080 is an abundant number, since it is smaller than the sum of its proper divisors (1415649896100).

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

527144878080 is a wasteful number, since it uses less digits than its factorization.

527144878080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 527144878080 in words is "five hundred twenty-seven billion, one hundred forty-four million, eight hundred seventy-eight thousand, eighty".