161959177600 has 576 divisors, whose sum is σ = 461860439040. Its totient is φ = 56010240000.

The previous prime is 161959177577. The next prime is 161959177609. The reversal of 161959177600 is 6771959161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161959177609) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1236329535 + ... + 1236329665.

It is an arithmetic number, because the mean of its divisors is an integer number (801841040).

Almost surely, 2^161959177600 is an apocalyptic number.

161959177600 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 161959177600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230930219520).

161959177600 is an abundant number, since it is smaller than the sum of its proper divisors (299901261440).

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

161959177600 is a wasteful number, since it uses less digits than its factorization.

161959177600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 52.

The spelling of 161959177600 in words is "one hundred sixty-one billion, nine hundred fifty-nine million, one hundred seventy-seven thousand, six hundred".