350585978512 has 240 divisors, whose sum is σ = 870768892224. Its totient is φ = 135209088000.

The previous prime is 350585978507. The next prime is 350585978521. The reversal of 350585978512 is 215879585053.

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 47 ways as a sum of consecutive naturals, for example, 648032962 + ... + 648033502.

Almost surely, 2^350585978512 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 350585978512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435384446112).

350585978512 is an abundant number, since it is smaller than the sum of its proper divisors (520182913712).

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

350585978512 is a wasteful number, since it uses less digits than its factorization.

350585978512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 58.

The spelling of 350585978512 in words is "three hundred fifty billion, five hundred eighty-five million, nine hundred seventy-eight thousand, five hundred twelve".