350561058672 has 400 divisors, whose sum is σ = 1046758003200. Its totient is φ = 100963484160.

The previous prime is 350561058647. The next prime is 350561058707. The reversal of 350561058672 is 276850165053.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2099167933 + ... + 2099168099.

It is an arithmetic number, because the mean of its divisors is an integer number (2616895008).

Almost surely, 2^350561058672 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 350561058672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523379001600).

350561058672 is an abundant number, since it is smaller than the sum of its proper divisors (696196944528).

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

350561058672 is a wasteful number, since it uses less digits than its factorization.

350561058672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 350561058672 in words is "three hundred fifty billion, five hundred sixty-one million, fifty-eight thousand, six hundred seventy-two".