161195332800 has 336 divisors, whose sum is σ = 567871368192. Its totient is φ = 39885619200.

The previous prime is 161195332787. The next prime is 161195332843. The reversal of 161195332800 is 8233591161.

161195332800 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 47 ways as a sum of consecutive naturals, for example, 5779689 + ... + 5807511.

Almost surely, 2^161195332800 is an apocalyptic number.

161195332800 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 161195332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283935684096).

161195332800 is an abundant number, since it is smaller than the sum of its proper divisors (406676035392).

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

161195332800 is a wasteful number, since it uses less digits than its factorization.

161195332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27936 (or 27921 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 161195332800 in words is "one hundred sixty-one billion, one hundred ninety-five million, three hundred thirty-two thousand, eight hundred".