352960056288 has 72 divisors (see below), whose sum is σ = 1147120189488. Its totient is φ = 100845729792.

The previous prime is 352960056287. The next prime is 352960056331. The reversal of 352960056288 is 882650069253.

352960056288 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 6 + 0 + 0 + 5 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352960056283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 87537681 + ... + 87541712.

It is an arithmetic number, because the mean of its divisors is an integer number (15932224854).

Almost surely, 2^352960056288 is an apocalyptic number.

It is an amenable number.

352960056288 is an abundant number, since it is smaller than the sum of its proper divisors (794160133200).

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

352960056288 is a wasteful number, since it uses less digits than its factorization.

352960056288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175079416 (or 175079405 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 352960056288 in words is "three hundred fifty-two billion, nine hundred sixty million, fifty-six thousand, two hundred eighty-eight".