161965667200 has 384 divisors, whose sum is σ = 432485712000. Its totient is φ = 59749539840.

The previous prime is 161965667183. The next prime is 161965667239. The reversal of 161965667200 is 2766569161.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584713462 + ... + 584713738.

It is an arithmetic number, because the mean of its divisors is an integer number (1126264875).

Almost surely, 2^161965667200 is an apocalyptic number.

161965667200 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 161965667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216242856000).

161965667200 is an abundant number, since it is smaller than the sum of its proper divisors (270520044800).

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

161965667200 is a wasteful number, since it uses less digits than its factorization.

161965667200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 161965667200 in words is "one hundred sixty-one billion, nine hundred sixty-five million, six hundred sixty-seven thousand, two hundred".