527239811998272 has 224 divisors, whose sum is σ = 1481617287614464. Its totient is φ = 165204255283200.

The previous prime is 527239811998253. The next prime is 527239811998297. The reversal of 527239811998272 is 272899118932725.

It is a junction number, because it is equal to n+sod(n) for n = 527239811998194 and 527239811998203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40633683 + ... + 52015149.

It is an arithmetic number, because the mean of its divisors is an integer number (6614362891136).

Almost surely, 2^{527239811998272} 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 527239811998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740808643807232).

527239811998272 is an abundant number, since it is smaller than the sum of its proper divisors (954377475616192).

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

527239811998272 is a wasteful number, since it uses less digits than its factorization.

527239811998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381737 (or 11381727 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 75.

The spelling of 527239811998272 in words is "five hundred twenty-seven trillion, two hundred thirty-nine billion, eight hundred eleven million, nine hundred ninety-eight thousand, two hundred seventy-two".