160079084352 has 336 divisors, whose sum is σ = 520171509312. Its totient is φ = 48407777280.

The previous prime is 160079084311. The next prime is 160079084353. The reversal of 160079084352 is 253480970061.

160079084352 is a `hidden beast` number, since 1 + 600 + 7 + 9 + 0 + 8 + 4 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 160079084298 and 160079084307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160079084353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145923868 + ... + 145924964.

It is an arithmetic number, because the mean of its divisors is an integer number (1548129492).

It is a 1-persistent number, because it is pandigital, but 2⋅160079084352 = 320158168704 is not.

Almost surely, 2^160079084352 is an apocalyptic number.

160079084352 is a gapful number since it is divisible by the number (12) 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 160079084352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260085754656).

160079084352 is an abundant number, since it is smaller than the sum of its proper divisors (360092424960).

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

160079084352 is a wasteful number, since it uses less digits than its factorization.

160079084352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 160079084352 in words is "one hundred sixty billion, seventy-nine million, eighty-four thousand, three hundred fifty-two".