527992615680 has 576 divisors, whose sum is σ = 1792859443200. Its totient is φ = 132207738880.

The previous prime is 527992615679. The next prime is 527992615681. The reversal of 527992615680 is 86516299725.

It is an interprime number because it is at equal distance from previous prime (527992615679) and next prime (527992615681).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (527992615681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1470731341 + ... + 1470731699.

It is an arithmetic number, because the mean of its divisors is an integer number (3112603200).

Almost surely, 2^527992615680 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 527992615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896429721600).

527992615680 is an abundant number, since it is smaller than the sum of its proper divisors (1264866827520).

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

527992615680 is a wasteful number, since it uses less digits than its factorization.

527992615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 527992615680 in words is "five hundred twenty-seven billion, nine hundred ninety-two million, six hundred fifteen thousand, six hundred eighty".