161886736800 has 432 divisors, whose sum is σ = 596791802880. Its totient is φ = 41243904000.

The previous prime is 161886736789. The next prime is 161886736853. The reversal of 161886736800 is 8637688161.

161886736800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17628210 + ... + 17637390.

Almost surely, 2^161886736800 is an apocalyptic number.

161886736800 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 161886736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298395901440).

161886736800 is an abundant number, since it is smaller than the sum of its proper divisors (434905066080).

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

161886736800 is a wasteful number, since it uses less digits than its factorization.

161886736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9317 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 161886736800 in words is "one hundred sixty-one billion, eight hundred eighty-six million, seven hundred thirty-six thousand, eight hundred".