161331523200 has 1920 divisors, whose sum is σ = 694193068800. Its totient is φ = 36628070400.

The previous prime is 161331523193. The next prime is 161331523211. The reversal of 161331523200 is 2325133161.

161331523200 is a `hidden beast` number, since 1 + 6 + 1 + 331 + 5 + 2 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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, 3432585577 + ... + 3432585623.

It is an arithmetic number, because the mean of its divisors is an integer number (361558890).

Almost surely, 2^161331523200 is an apocalyptic number.

161331523200 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 161331523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347096534400).

161331523200 is an abundant number, since it is smaller than the sum of its proper divisors (532861545600).

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

161331523200 is a wasteful number, since it uses less digits than its factorization.

161331523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 161331523200 its reverse (2325133161), we get a palindrome (163656656361).

The spelling of 161331523200 in words is "one hundred sixty-one billion, three hundred thirty-one million, five hundred twenty-three thousand, two hundred".