959351251322880 has 1152 divisors, whose sum is σ = 3757048912431360. Its totient is φ = 224631568465920.

The previous prime is 959351251322843. The next prime is 959351251322887. The reversal of 959351251322880 is 88223152153959.

It is a happy number.

959351251322880 is a `hidden beast` number, since 9 + 5 + 9 + 3 + 5 + 12 + 513 + 2 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×959351251322880² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (959351251322887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4987510867 + ... + 4987703213.

It is an arithmetic number, because the mean of its divisors is an integer number (3261327180930).

Almost surely, 2^{959351251322880} is an apocalyptic number.

959351251322880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 959351251322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878524456215680).

959351251322880 is an abundant number, since it is smaller than the sum of its proper divisors (2797697661108480).

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

959351251322880 is a wasteful number, since it uses less digits than its factorization.

959351251322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192597 (or 192574 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 959351251322880 in words is "nine hundred fifty-nine trillion, three hundred fifty-one billion, two hundred fifty-one million, three hundred twenty-two thousand, eight hundred eighty".