350185006080 has 1232 divisors, whose sum is σ = 1551625737984. Its totient is φ = 73813524480.

The previous prime is 350185006033. The next prime is 350185006103. The reversal of 350185006080 is 80600581053.

350185006080 is a `hidden beast` number, since 3 + 5 + 0 + 18 + 500 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 339655165 + ... + 339656195.

Almost surely, 2^350185006080 is an apocalyptic number.

350185006080 is a gapful number since it is divisible by the number (30) 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 350185006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775812868992).

350185006080 is an abundant number, since it is smaller than the sum of its proper divisors (1201440731904).

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

350185006080 is a wasteful number, since it uses less digits than its factorization.

350185006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 350185006080 in words is "three hundred fifty billion, one hundred eighty-five million, six thousand, eighty".