160825867034016 has 192 divisors, whose sum is σ = 450295484083200. Its totient is φ = 50083470913536.

The previous prime is 160825867034011. The next prime is 160825867034023. The reversal of 160825867034016 is 610430768528061.

It is not an unprimeable number, because it can be changed into a prime (160825867034011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370783805 + ... + 1370901123.

It is an arithmetic number, because the mean of its divisors is an integer number (2345288979600).

Almost surely, 2^{160825867034016} is an apocalyptic number.

160825867034016 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 160825867034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225147742041600).

160825867034016 is an abundant number, since it is smaller than the sum of its proper divisors (289469617049184).

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

160825867034016 is a wasteful number, since it uses less digits than its factorization.

160825867034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123531 (or 123523 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 160825867034016 in words is "one hundred sixty trillion, eight hundred twenty-five billion, eight hundred sixty-seven million, thirty-four thousand, sixteen".