527480687790 has 256 divisors, whose sum is σ = 1636180992000. Its totient is φ = 118425991680.

The previous prime is 527480687719. The next prime is 527480687807. The reversal of 527480687790 is 97786084725.

527480687790 is a `hidden beast` number, since 5 + 2 + 7 + 480 + 6 + 87 + 79 + 0 = 666.

It is a super-2 number, since 2×527480687790² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) 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 (63).

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 127 ways as a sum of consecutive naturals, for example, 95572651 + ... + 95578169.

It is an arithmetic number, because the mean of its divisors is an integer number (6391332000).

Almost surely, 2^527480687790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527480687790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818090496000).

527480687790 is an abundant number, since it is smaller than the sum of its proper divisors (1108700304210).

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

527480687790 is a wasteful number, since it uses less digits than its factorization.

527480687790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 527480687790 in words is "five hundred twenty-seven billion, four hundred eighty million, six hundred eighty-seven thousand, seven hundred ninety".