161190933120 has 1920 divisors, whose sum is σ = 729382579200. Its totient is φ = 33721712640.

The previous prime is 161190933119. The next prime is 161190933227. The reversal of 161190933120 is 21339091161.

161190933120 = T₃₆₁₅₂ + T₃₆₁₅₃ + ... + T₃₆₃₉₆.

161190933120 is a `hidden beast` number, since 1 + 611 + 9 + 0 + 9 + 3 + 31 + 2 + 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 (36).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1811134036 + ... + 1811134124.

It is an arithmetic number, because the mean of its divisors is an integer number (379886760).

Almost surely, 2^161190933120 is an apocalyptic number.

161190933120 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 161190933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364691289600).

161190933120 is an abundant number, since it is smaller than the sum of its proper divisors (568191646080).

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

161190933120 is a wasteful number, since it uses less digits than its factorization.

161190933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 161190933120 in words is "one hundred sixty-one billion, one hundred ninety million, nine hundred thirty-three thousand, one hundred twenty".