161807313920 has 352 divisors, whose sum is σ = 455907840000. Its totient is φ = 55078797312.

The previous prime is 161807313917. The next prime is 161807313991. The reversal of 161807313920 is 29313708161.

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 31 ways as a sum of consecutive naturals, for example, 349475609 + ... + 349476071.

Almost surely, 2^161807313920 is an apocalyptic number.

161807313920 is a gapful number since it is divisible by the number (10) 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 161807313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227953920000).

161807313920 is an abundant number, since it is smaller than the sum of its proper divisors (294100526080).

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

161807313920 is an equidigital number, since it uses as much as digits as its factorization.

161807313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 161807313920 in words is "one hundred sixty-one billion, eight hundred seven million, three hundred thirteen thousand, nine hundred twenty".