527255680 has 384 divisors, whose sum is σ = 1657687680. Its totient is φ = 158957568.

The previous prime is 527255671. The next prime is 527255737. The reversal of 527255680 is 86552725.

527255680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 12261739 + ... + 12261781.

It is an arithmetic number, because the mean of its divisors is an integer number (4316895).

Almost surely, 2^527255680 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 527255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828843840).

527255680 is an abundant number, since it is smaller than the sum of its proper divisors (1130432000).

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

527255680 is a wasteful number, since it uses less digits than its factorization.

527255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 40.

The square root of 527255680 is about 22962.0486890870. The cubic root of 527255680 is about 807.8680305986.

The spelling of 527255680 in words is "five hundred twenty-seven million, two hundred fifty-five thousand, six hundred eighty".