161782824960 has 576 divisors, whose sum is σ = 591897922560. Its totient is φ = 41901096960.

The previous prime is 161782824901. The next prime is 161782824979. The reversal of 161782824960 is 69428287161.

It is a happy number.

161782824960 is a `hidden beast` number, since 1 + 6 + 1 + 78 + 2 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 161782824897 and 161782824906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725483409 + ... + 725483631.

It is an arithmetic number, because the mean of its divisors is an integer number (1027600560).

Almost surely, 2^161782824960 is an apocalyptic number.

161782824960 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 161782824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295948961280).

161782824960 is an abundant number, since it is smaller than the sum of its proper divisors (430115097600).

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

161782824960 is an frugal number, since it uses more digits than its factorization.

161782824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 161782824960 in words is "one hundred sixty-one billion, seven hundred eighty-two million, eight hundred twenty-four thousand, nine hundred sixty".