527126147072 has 208 divisors, whose sum is σ = 1288844020800. Its totient is φ = 210411454464.

The previous prime is 527126147047. The next prime is 527126147077. The reversal of 527126147072 is 270741621725.

It is not an unprimeable number, because it can be changed into a prime (527126147077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47274554 + ... + 47285702.

Almost surely, 2^527126147072 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 527126147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644422010400).

527126147072 is an abundant number, since it is smaller than the sum of its proper divisors (761717873728).

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

527126147072 is a wasteful number, since it uses less digits than its factorization.

527126147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

Adding to 527126147072 its reverse (270741621725), we get a palindrome (797867768797).

The spelling of 527126147072 in words is "five hundred twenty-seven billion, one hundred twenty-six million, one hundred forty-seven thousand, seventy-two".