161138512080 has 960 divisors, whose sum is σ = 723239424000. Its totient is φ = 32199358464.

The previous prime is 161138512063. The next prime is 161138512081. The reversal of 161138512080 is 80215831161.

161138512080 is a `hidden beast` number, since 1 + 6 + 1 + 138 + 512 + 0 + 8 + 0 = 666.

161138512080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161138512081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48548661 + ... + 48551979.

It is an arithmetic number, because the mean of its divisors is an integer number (753374400).

Almost surely, 2^161138512080 is an apocalyptic number.

161138512080 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 161138512080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361619712000).

161138512080 is an abundant number, since it is smaller than the sum of its proper divisors (562100911920).

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

161138512080 is a wasteful number, since it uses less digits than its factorization.

161138512080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 161138512080 in words is "one hundred sixty-one billion, one hundred thirty-eight million, five hundred twelve thousand, eighty".