161096382720 has 1296 divisors, whose sum is σ = 723283994160. Its totient is φ = 32774160384.

The previous prime is 161096382709. The next prime is 161096382737. The reversal of 161096382720 is 27283690161.

161096382720 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 638 + 2 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6024243456 + 155072139264 = 77616^2 + 393792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 212808582 + ... + 212809338.

Almost surely, 2^161096382720 is an apocalyptic number.

161096382720 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 161096382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361641997080).

161096382720 is an abundant number, since it is smaller than the sum of its proper divisors (562187611440).

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

161096382720 is a wasteful number, since it uses less digits than its factorization.

161096382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 161096382720 in words is "one hundred sixty-one billion, ninety-six million, three hundred eighty-two thousand, seven hundred twenty".