161208585600 has 384 divisors, whose sum is σ = 574057305600. Its totient is φ = 39624007680.

The previous prime is 161208585599. The next prime is 161208585611. The reversal of 161208585600 is 6585802161.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 6736857 + ... + 6760743.

It is an arithmetic number, because the mean of its divisors is an integer number (1494940900).

Almost surely, 2^161208585600 is an apocalyptic number.

161208585600 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 161208585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287028652800).

161208585600 is an abundant number, since it is smaller than the sum of its proper divisors (412848720000).

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

161208585600 is a wasteful number, since it uses less digits than its factorization.

161208585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23970 (or 23953 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 161208585600 in words is "one hundred sixty-one billion, two hundred eight million, five hundred eighty-five thousand, six hundred".