161195826400 has 144 divisors (see below), whose sum is σ = 449922453120. Its totient is φ = 55244275200.

The previous prime is 161195826367. The next prime is 161195826427. The reversal of 161195826400 is 4628591161.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18873331 + ... + 18881869.

It is an arithmetic number, because the mean of its divisors is an integer number (3124461480).

Almost surely, 2^161195826400 is an apocalyptic number.

161195826400 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 161195826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224961226560).

161195826400 is an abundant number, since it is smaller than the sum of its proper divisors (288726626720).

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

161195826400 is a wasteful number, since it uses less digits than its factorization.

161195826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11937 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 161195826400 in words is "one hundred sixty-one billion, one hundred ninety-five million, eight hundred twenty-six thousand, four hundred".