163125705600 has 1536 divisors, whose sum is σ = 714379276800. Its totient is φ = 36279705600.

The previous prime is 163125705593. The next prime is 163125705641. The reversal of 163125705600 is 6507521361.

163125705600 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 25 + 70 + 560 + 0 = 666.

163125705600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 1000771119 + ... + 1000771281.

It is an arithmetic number, because the mean of its divisors is an integer number (465090675).

Almost surely, 2^163125705600 is an apocalyptic number.

163125705600 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 163125705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357189638400).

163125705600 is an abundant number, since it is smaller than the sum of its proper divisors (551253571200).

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

163125705600 is a wasteful number, since it uses less digits than its factorization.

163125705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 163125705600 in words is "one hundred sixty-three billion, one hundred twenty-five million, seven hundred five thousand, six hundred".