959138218000 has 80 divisors (see below), whose sum is σ = 2342159043120. Its totient is φ = 379856640000.

The previous prime is 959138217971. The next prime is 959138218013. The reversal of 959138218000 is 812831959.

It can be written as a sum of positive squares in 8 ways, for example, as 43264 + 959138174736 = 208^2 + 979356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×959138218000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172105 + ... + 2576104.

It is an arithmetic number, because the mean of its divisors is an integer number (29276988039).

Almost surely, 2^959138218000 is an apocalyptic number.

It is an amenable number.

959138218000 is an abundant number, since it is smaller than the sum of its proper divisors (1383020825120).

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

959138218000 is a wasteful number, since it uses less digits than its factorization.

959138218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748333 (or 4748317 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 959138218000 in words is "nine hundred fifty-nine billion, one hundred thirty-eight million, two hundred eighteen thousand".