161530807200 has 576 divisors, whose sum is σ = 634791370752. Its totient is φ = 34894540800.

The previous prime is 161530807153. The next prime is 161530807237. The reversal of 161530807200 is 2708035161.

161530807200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22390794 + ... + 22398006.

It is an arithmetic number, because the mean of its divisors is an integer number (1102068352).

Almost surely, 2^161530807200 is an apocalyptic number.

161530807200 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 161530807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317395685376).

161530807200 is an abundant number, since it is smaller than the sum of its proper divisors (473260563552).

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

161530807200 is a wasteful number, since it uses less digits than its factorization.

161530807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7317 (or 7304 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 161530807200 in words is "one hundred sixty-one billion, five hundred thirty million, eight hundred seven thousand, two hundred".