161541178800 has 240 divisors, whose sum is σ = 530350960128. Its totient is φ = 42008601600.

The previous prime is 161541178783. The next prime is 161541178831. The reversal of 161541178800 is 8871145161.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37820665 + ... + 37824935.

Almost surely, 2^161541178800 is an apocalyptic number.

161541178800 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 161541178800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265175480064).

161541178800 is an abundant number, since it is smaller than the sum of its proper divisors (368809781328).

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

161541178800 is a wasteful number, since it uses less digits than its factorization.

161541178800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 42.

The spelling of 161541178800 in words is "one hundred sixty-one billion, five hundred forty-one million, one hundred seventy-eight thousand, eight hundred".