527978207232 has 576 divisors, whose sum is σ = 1865967667200. Its totient is φ = 145954897920.

The previous prime is 527978207231. The next prime is 527978207257. The reversal of 527978207232 is 232702879725.

527978207232 is a `hidden beast` number, since 527 + 9 + 7 + 82 + 0 + 7 + 2 + 32 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527978207231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107990644 + ... + 107995532.

It is an arithmetic number, because the mean of its divisors is an integer number (3239527200).

Almost surely, 2^527978207232 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 527978207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932983833600).

527978207232 is an abundant number, since it is smaller than the sum of its proper divisors (1337989459968).

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

527978207232 is an equidigital number, since it uses as much as digits as its factorization.

527978207232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 527978207232 in words is "five hundred twenty-seven billion, nine hundred seventy-eight million, two hundred seven thousand, two hundred thirty-two".