161588744800 has 288 divisors, whose sum is σ = 480461248512. Its totient is φ = 51863623680.

The previous prime is 161588744783. The next prime is 161588744803. The reversal of 161588744800 is 8447885161.

It is a super-2 number, since 2×161588744800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161588744803) 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 47 ways as a sum of consecutive naturals, for example, 6040254 + ... + 6066946.

It is an arithmetic number, because the mean of its divisors is an integer number (1668268224).

Almost surely, 2^161588744800 is an apocalyptic number.

161588744800 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 161588744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240230624256).

161588744800 is an abundant number, since it is smaller than the sum of its proper divisors (318872503712).

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

161588744800 is a wasteful number, since it uses less digits than its factorization.

161588744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26790 (or 26777 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 161588744800 in words is "one hundred sixty-one billion, five hundred eighty-eight million, seven hundred forty-four thousand, eight hundred".