161500889088000 has 3168 divisors, whose sum is σ = 744721381767168. Its totient is φ = 33294385152000.

The previous prime is 161500889087999. The next prime is 161500889088029. The reversal of 161500889088000 is 880988005161.

It is a tau number, because it is divible by the number of its divisors (3168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1271660543937 + ... + 1271660544063.

Almost surely, 2^{161500889088000} is an apocalyptic number.

161500889088000 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 161500889088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372360690883584).

161500889088000 is an abundant number, since it is smaller than the sum of its proper divisors (583220492679168).

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

161500889088000 is an frugal number, since it uses more digits than its factorization.

161500889088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 161500889088000 in words is "one hundred sixty-one trillion, five hundred billion, eight hundred eighty-nine million, eighty-eight thousand".