527482720856 has 256 divisors, whose sum is σ = 1263644928000. Its totient is φ = 200882073600.

The previous prime is 527482720837. The next prime is 527482720883. The reversal of 527482720856 is 658027284725.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 880605245 + ... + 880605843.

It is an arithmetic number, because the mean of its divisors is an integer number (4936113000).

Almost surely, 2^527482720856 is an apocalyptic number.

527482720856 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 527482720856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631822464000).

527482720856 is an abundant number, since it is smaller than the sum of its proper divisors (736162207144).

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

527482720856 is a wasteful number, since it uses less digits than its factorization.

527482720856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 56.

The spelling of 527482720856 in words is "five hundred twenty-seven billion, four hundred eighty-two million, seven hundred twenty thousand, eight hundred fifty-six".