161870108400 has 3600 divisors, whose sum is σ = 855173265408. Its totient is φ = 28740096000.

The previous prime is 161870108363. The next prime is 161870108419. The reversal of 161870108400 is 4801078161.

161870108400 is a `hidden beast` number, since 161 + 87 + 0 + 10 + 8 + 400 = 666.

161870108400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 5221616385 + ... + 5221616415.

Almost surely, 2^161870108400 is an apocalyptic number.

161870108400 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 161870108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427586632704).

161870108400 is an abundant number, since it is smaller than the sum of its proper divisors (693303157008).

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

161870108400 is a wasteful number, since it uses less digits than its factorization.

161870108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 161870108400 in words is "one hundred sixty-one billion, eight hundred seventy million, one hundred eight thousand, four hundred".