160164040961600 has 504 divisors, whose sum is σ = 450320559514560. Its totient is φ = 55581638676480.

The previous prime is 160164040961579. The next prime is 160164040961609. The reversal of 160164040961600 is 6169040461061.

It is not an unprimeable number, because it can be changed into a prime (160164040961609) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6374168237 + ... + 6374193363.

It is an arithmetic number, because the mean of its divisors is an integer number (893493173640).

Almost surely, 2^{160164040961600} is an apocalyptic number.

160164040961600 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 160164040961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225160279757280).

160164040961600 is an abundant number, since it is smaller than the sum of its proper divisors (290156518552960).

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

160164040961600 is a wasteful number, since it uses less digits than its factorization.

160164040961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25435 (or 25293 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 160164040961600 in words is "one hundred sixty trillion, one hundred sixty-four billion, forty million, nine hundred sixty-one thousand, six hundred".