161238561120 has 720 divisors, whose sum is σ = 712896983568. Its totient is φ = 34017822720.

The previous prime is 161238561119. The next prime is 161238561137. The reversal of 161238561120 is 21165832161.

161238561120 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 38 + 5 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8245755 + ... + 8265285.

Almost surely, 2^161238561120 is an apocalyptic number.

161238561120 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 161238561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356448491784).

161238561120 is an abundant number, since it is smaller than the sum of its proper divisors (551658422448).

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

161238561120 is a wasteful number, since it uses less digits than its factorization.

161238561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19585 (or 19561 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 161238561120 in words is "one hundred sixty-one billion, two hundred thirty-eight million, five hundred sixty-one thousand, one hundred twenty".