161340795000 has 1920 divisors, whose sum is σ = 753868684800. Its totient is φ = 31173120000.

The previous prime is 161340794987. The next prime is 161340795001. The reversal of 161340795000 is 597043161.

161340795000 is a `hidden beast` number, since 16 + 134 + 0 + 7 + 9 + 500 + 0 = 666.

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 (161340795001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1943864959 + ... + 1943865041.

It is an arithmetic number, because the mean of its divisors is an integer number (392639940).

Almost surely, 2^161340795000 is an apocalyptic number.

161340795000 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 161340795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376934342400).

161340795000 is an abundant number, since it is smaller than the sum of its proper divisors (592527889800).

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

161340795000 is a wasteful number, since it uses less digits than its factorization.

161340795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 161340795000 in words is "one hundred sixty-one billion, three hundred forty million, seven hundred ninety-five thousand".