161893576723200 has 2592 divisors, whose sum is σ = 650872185513984. Its totient is φ = 34694108282880.

The previous prime is 161893576723187. The next prime is 161893576723231. The reversal of 161893576723200 is 2327675398161.

It is a happy number.

161893576723200 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 (60).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 838826822304 + ... + 838826822496.

Almost surely, 2^{161893576723200} is an apocalyptic number.

161893576723200 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 161893576723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325436092756992).

161893576723200 is an abundant number, since it is smaller than the sum of its proper divisors (488978608790784).

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

161893576723200 is a wasteful number, since it uses less digits than its factorization.

161893576723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 161893576723200 in words is "one hundred sixty-one trillion, eight hundred ninety-three billion, five hundred seventy-six million, seven hundred twenty-three thousand, two hundred".