161165441090880 has 1008 divisors, whose sum is σ = 583301228477760. Its totient is φ = 40832906526720.

The previous prime is 161165441090879. The next prime is 161165441090971. The reversal of 161165441090880 is 88090144561161.

161165441090880 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 544 + 1 + 0 + 90 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62491445431 + ... + 62491448009.

Almost surely, 2^{161165441090880} is an apocalyptic number.

161165441090880 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 161165441090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291650614238880).

161165441090880 is an abundant number, since it is smaller than the sum of its proper divisors (422135787386880).

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

161165441090880 is a wasteful number, since it uses less digits than its factorization.

161165441090880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 161165441090880 in words is "one hundred sixty-one trillion, one hundred sixty-five billion, four hundred forty-one million, ninety thousand, eight hundred eighty".