161755496000 has 224 divisors, whose sum is σ = 468987128064. Its totient is φ = 54105600000.

The previous prime is 161755495999. The next prime is 161755496011. The reversal of 161755496000 is 694557161.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2260775 + ... + 2331225.

It is an arithmetic number, because the mean of its divisors is an integer number (2093692536).

Almost surely, 2^161755496000 is an apocalyptic number.

161755496000 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 161755496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234493564032).

161755496000 is an abundant number, since it is smaller than the sum of its proper divisors (307231632064).

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

161755496000 is an equidigital number, since it uses as much as digits as its factorization.

161755496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70526 (or 70506 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 161755496000 in words is "one hundred sixty-one billion, seven hundred fifty-five million, four hundred ninety-six thousand".