160825575701136 has 320 divisors, whose sum is σ = 440248582287360. Its totient is φ = 50490492856320.

The previous prime is 160825575701093. The next prime is 160825575701137. The reversal of 160825575701136 is 631107575528061.

It is not an unprimeable number, because it can be changed into a prime (160825575701137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11814110266 + ... + 11814123878.

It is an arithmetic number, because the mean of its divisors is an integer number (1375776819648).

Almost surely, 2^{160825575701136} is an apocalyptic number.

160825575701136 is a gapful number since it is divisible by the number (16) 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 160825575701136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220124291143680).

160825575701136 is an abundant number, since it is smaller than the sum of its proper divisors (279423006586224).

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

160825575701136 is a wasteful number, since it uses less digits than its factorization.

160825575701136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 14408 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 160825575701136 in words is "one hundred sixty trillion, eight hundred twenty-five billion, five hundred seventy-five million, seven hundred one thousand, one hundred thirty-six".