161956675584 has 480 divisors, whose sum is σ = 531108506880. Its totient is φ = 48365568000.

The previous prime is 161956675567. The next prime is 161956675591. The reversal of 161956675584 is 485576659161.

161956675584 is a `hidden beast` number, since 1 + 6 + 19 + 5 + 6 + 67 + 558 + 4 = 666.

Its product of digits (54432000) is a multiple of the sum of its prime divisors (500).

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, 403881784 + ... + 403882184.

It is an arithmetic number, because the mean of its divisors is an integer number (1106476056).

Almost surely, 2^161956675584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161956675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265554253440).

161956675584 is an abundant number, since it is smaller than the sum of its proper divisors (369151831296).

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

161956675584 is an equidigital number, since it uses as much as digits as its factorization.

161956675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 500 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 161956675584 in words is "one hundred sixty-one billion, nine hundred fifty-six million, six hundred seventy-five thousand, five hundred eighty-four".