160825420800 has 1584 divisors, whose sum is σ = 684239063040. Its totient is φ = 35684352000.

The previous prime is 160825420793. The next prime is 160825420867. The reversal of 160825420800 is 8024528061.

160825420800 is a `hidden beast` number, since 1 + 608 + 2 + 5 + 42 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1807027156 + ... + 1807027244.

Almost surely, 2^160825420800 is an apocalyptic number.

160825420800 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 160825420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342119531520).

160825420800 is an abundant number, since it is smaller than the sum of its proper divisors (523413642240).

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

160825420800 is a wasteful number, since it uses less digits than its factorization.

160825420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 160825420800 its reverse (8024528061), we get a palindrome (168849948861).

The spelling of 160825420800 in words is "one hundred sixty billion, eight hundred twenty-five million, four hundred twenty thousand, eight hundred".