352581167680 has 112 divisors (see below), whose sum is σ = 960351014016. Its totient is φ = 120780840960.

The previous prime is 352581167651. The next prime is 352581167689. The reversal of 352581167680 is 86761185253.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (352581167689) 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 15 ways as a sum of consecutive naturals, for example, 2555832 + ... + 2690248.

Almost surely, 2^352581167680 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 352581167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480175507008).

352581167680 is an abundant number, since it is smaller than the sum of its proper divisors (607769846336).

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

352581167680 is a wasteful number, since it uses less digits than its factorization.

352581167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135612 (or 135602 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 352581167680 in words is "three hundred fifty-two billion, five hundred eighty-one million, one hundred sixty-seven thousand, six hundred eighty".