351065872000 has 128 divisors (see below), whose sum is σ = 873280633680. Its totient is φ = 140355072000.

The previous prime is 351065871977. The next prime is 351065872013. The reversal of 351065872000 is 278560153.

It can be written as a sum of positive squares in 8 ways, for example, as 19962298944 + 331103573056 = 141288^2 + 575416^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40907710 + ... + 40916290.

Almost surely, 2^351065872000 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 351065872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436640316840).

351065872000 is an abundant number, since it is smaller than the sum of its proper divisors (522214761680).

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

351065872000 is an equidigital number, since it uses as much as digits as its factorization.

351065872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 351065872000 in words is "three hundred fifty-one billion, sixty-five million, eight hundred seventy-two thousand".