161371557600 has 288 divisors, whose sum is σ = 575110440576. Its totient is φ = 38977382400.

The previous prime is 161371557593. The next prime is 161371557619. The reversal of 161371557600 is 6755173161.

161371557600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7301767 + ... + 7323833.

It is an arithmetic number, because the mean of its divisors is an integer number (1996911252).

Almost surely, 2^161371557600 is an apocalyptic number.

161371557600 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 161371557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287555220288).

161371557600 is an abundant number, since it is smaller than the sum of its proper divisors (413738882976).

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

161371557600 is a wasteful number, since it uses less digits than its factorization.

161371557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22378 (or 22365 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 161371557600 in words is "one hundred sixty-one billion, three hundred seventy-one million, five hundred fifty-seven thousand, six hundred".