161671305600 has 1728 divisors, whose sum is σ = 743962695840. Its totient is φ = 33154007040.

The previous prime is 161671305571. The next prime is 161671305637. The reversal of 161671305600 is 6503176161.

161671305600 is a `hidden beast` number, since 1 + 6 + 1 + 67 + 1 + 30 + 560 + 0 = 666.

It is a super-2 number, since 2×161671305600² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 551779054 + ... + 551779346.

Almost surely, 2^161671305600 is an apocalyptic number.

161671305600 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 161671305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371981347920).

161671305600 is an abundant number, since it is smaller than the sum of its proper divisors (582291390240).

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

161671305600 is a wasteful number, since it uses less digits than its factorization.

161671305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 161671305600 in words is "one hundred sixty-one billion, six hundred seventy-one million, three hundred five thousand, six hundred".