160083025228800 has 594 divisors, whose sum is σ = 595188462312678. Its totient is φ = 42688761937920.

The previous prime is 160083025228793. The next prime is 160083025228823. The reversal of 160083025228800 is 8822520380061.

160083025228800 is a `hidden beast` number, since 1 + 60 + 0 + 8 + 302 + 5 + 2 + 288 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9071565705216 + 151011459523584 = 3011904^2 + 12288672^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 167485054 + ... + 168438146.

Almost surely, 2^{160083025228800} is an apocalyptic number.

160083025228800 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 160083025228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297594231156339).

160083025228800 is an abundant number, since it is smaller than the sum of its proper divisors (435105437083878).

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

160083025228800 is an frugal number, since it uses more digits than its factorization.

160083025228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953147 (or 953103 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 160083025228800 in words is "one hundred sixty trillion, eighty-three billion, twenty-five million, two hundred twenty-eight thousand, eight hundred".