959858326560 has 1152 divisors, whose sum is σ = 3787484811264. Its totient is φ = 203266990080.

The previous prime is 959858326481. The next prime is 959858326561. The reversal of 959858326560 is 65623858959.

959858326560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×959858326560⁶ (a number of 73 digits) contains 666666 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 959858326491 and 959858326500.

It is not an unprimeable number, because it can be changed into a prime (959858326561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2573346534 + ... + 2573346906.

It is an arithmetic number, because the mean of its divisors is an integer number (3287747232).

Almost surely, 2^959858326560 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 959858326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893742405632).

959858326560 is an abundant number, since it is smaller than the sum of its proper divisors (2827626484704).

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

959858326560 is a wasteful number, since it uses less digits than its factorization.

959858326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 66.

The spelling of 959858326560 in words is "nine hundred fifty-nine billion, eight hundred fifty-eight million, three hundred twenty-six thousand, five hundred sixty".