160085452800 has 864 divisors, whose sum is σ = 655669909440. Its totient is φ = 33737932800.

The previous prime is 160085452741. The next prime is 160085452847. The reversal of 160085452800 is 8254580061.

160085452800 is digitally balanced in base 3, 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181708360 + ... + 181709240.

It is an arithmetic number, because the mean of its divisors is an integer number (758877210).

Almost surely, 2^160085452800 is an apocalyptic number.

160085452800 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 160085452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327834954720).

160085452800 is an abundant number, since it is smaller than the sum of its proper divisors (495584456640).

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

160085452800 is a wasteful number, since it uses less digits than its factorization.

160085452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 160085452800 in words is "one hundred sixty billion, eighty-five million, four hundred fifty-two thousand, eight hundred".