350561086000 has 80 divisors (see below), whose sum is σ = 847969619328. Its totient is φ = 140172672000.

The previous prime is 350561085983. The next prime is 350561086079. The reversal of 350561086000 is 680165053.

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

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, 5635065 + ... + 5696935.

Almost surely, 2^350561086000 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 350561086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423984809664).

350561086000 is an abundant number, since it is smaller than the sum of its proper divisors (497408533328).

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

350561086000 is a wasteful number, since it uses less digits than its factorization.

350561086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64727 (or 64711 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 350561086000 in words is "three hundred fifty billion, five hundred sixty-one million, eighty-six thousand".