161200432800 has 1440 divisors, whose sum is σ = 694601417664. Its totient is φ = 35942400000.

The previous prime is 161200432733. The next prime is 161200432829. The reversal of 161200432800 is 8234002161.

161200432800 is a `hidden beast` number, since 1 + 612 + 0 + 0 + 43 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 642232675 + ... + 642232925.

Almost surely, 2^161200432800 is an apocalyptic number.

161200432800 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 161200432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347300708832).

161200432800 is an abundant number, since it is smaller than the sum of its proper divisors (533400984864).

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

161200432800 is a wasteful number, since it uses less digits than its factorization.

161200432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 161200432800 its reverse (8234002161), we get a palindrome (169434434961).

The spelling of 161200432800 in words is "one hundred sixty-one billion, two hundred million, four hundred thirty-two thousand, eight hundred".