527034918168 has 224 divisors, whose sum is σ = 1625265205200. Its totient is φ = 158821689600.

The previous prime is 527034918161. The next prime is 527034918169. The reversal of 527034918168 is 861819430725.

527034918168 is a `hidden beast` number, since 5 + 2 + 70 + 3 + 491 + 81 + 6 + 8 = 666.

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 (527034918161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11588818 + ... + 11634206.

It is a 1-persistent number, because it is pandigital, but 2⋅527034918168 = 1054069836336 is not.

Almost surely, 2^527034918168 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 527034918168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812632602600).

527034918168 is an abundant number, since it is smaller than the sum of its proper divisors (1098230287032).

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

527034918168 is a wasteful number, since it uses less digits than its factorization.

527034918168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45605 (or 45586 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 527034918168 in words is "five hundred twenty-seven billion, thirty-four million, nine hundred eighteen thousand, one hundred sixty-eight".