161752281600 has 960 divisors, whose sum is σ = 674284343040. Its totient is φ = 33266073600.

The previous prime is 161752281599. The next prime is 161752281617. The reversal of 161752281600 is 6182257161.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 143269836 + ... + 143270964.

It is an arithmetic number, because the mean of its divisors is an integer number (702379524).

Almost surely, 2^161752281600 is an apocalyptic number.

161752281600 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 161752281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337142171520).

161752281600 is an abundant number, since it is smaller than the sum of its proper divisors (512532061440).

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

161752281600 is a wasteful number, since it uses less digits than its factorization.

161752281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 161752281600 in words is "one hundred sixty-one billion, seven hundred fifty-two million, two hundred eighty-one thousand, six hundred".