161080012800 has 1872 divisors, whose sum is σ = 729464248800. Its totient is φ = 34681651200.

The previous prime is 161080012799. The next prime is 161080012801. The reversal of 161080012800 is 8210080161.

It is an interprime number because it is at equal distance from previous prime (161080012799) and next prime (161080012801).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161080012801) by changing a digit.

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, 3928780780 + ... + 3928780820.

Almost surely, 2^161080012800 is an apocalyptic number.

161080012800 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 161080012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364732124400).

161080012800 is an abundant number, since it is smaller than the sum of its proper divisors (568384236000).

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

161080012800 is a wasteful number, since it uses less digits than its factorization.

161080012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 161080012800 its reverse (8210080161), we get a palindrome (169290092961).

The spelling of 161080012800 in words is "one hundred sixty-one billion, eighty million, twelve thousand, eight hundred".