161039186880 has 896 divisors, whose sum is σ = 629224243200. Its totient is φ = 34360934400.

The previous prime is 161039186873. The next prime is 161039186881. The reversal of 161039186880 is 88681930161.

It is a super-3 number, since 3×161039186880³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161039186881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336198481 + ... + 336198959.

It is an arithmetic number, because the mean of its divisors is an integer number (702259200).

Almost surely, 2^161039186880 is an apocalyptic number.

161039186880 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 161039186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314612121600).

161039186880 is an abundant number, since it is smaller than the sum of its proper divisors (468185056320).

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

161039186880 is a wasteful number, since it uses less digits than its factorization.

161039186880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 161039186880 in words is "one hundred sixty-one billion, thirty-nine million, one hundred eighty-six thousand, eight hundred eighty".