161809367577600 has 528 divisors, whose sum is σ = 566348291050176. Its totient is φ = 40603680768000.

The previous prime is 161809367577581. The next prime is 161809367577601. The reversal of 161809367577600 is 6775763908161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161809367577601) 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 47 ways as a sum of consecutive naturals, for example, 14180115895 + ... + 14180127305.

Almost surely, 2^{161809367577600} is an apocalyptic number.

161809367577600 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 161809367577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283174145525088).

161809367577600 is an abundant number, since it is smaller than the sum of its proper divisors (404538923472576).

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

161809367577600 is a wasteful number, since it uses less digits than its factorization.

161809367577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22322 (or 22299 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 66.

The spelling of 161809367577600 in words is "one hundred sixty-one trillion, eight hundred nine billion, three hundred sixty-seven million, five hundred seventy-seven thousand, six hundred".