959059827856 has 135 divisors (see below), whose sum is σ = 2072032258401. Its totient is φ = 429833544192.

The previous prime is 959059827841. The next prime is 959059827857. The reversal of 959059827856 is 658728950959.

The square root of 959059827856 is 979316.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 133578554256 + 825481273600 = 365484^2 + 908560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (959059827857) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1884203730 + ... + 1884204238.

Almost surely, 2^959059827856 is an apocalyptic number.

959059827856 is the 979316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959059827856

959059827856 is an abundant number, since it is smaller than the sum of its proper divisors (1112972430545).

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

959059827856 is an equidigital number, since it uses as much as digits as its factorization.

959059827856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 73.

The spelling of 959059827856 in words is "nine hundred fifty-nine billion, fifty-nine million, eight hundred twenty-seven thousand, eight hundred fifty-six".