160045275600 has 600 divisors, whose sum is σ = 660401660160. Its totient is φ = 36361405440.

The previous prime is 160045275557. The next prime is 160045275601. The reversal of 160045275600 is 6572540061.

It is a happy number.

160045275600 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 45 + 2 + 7 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×160045275600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160045275601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39234361 + ... + 39238439.

Almost surely, 2^160045275600 is an apocalyptic number.

160045275600 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 160045275600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330200830080).

160045275600 is an abundant number, since it is smaller than the sum of its proper divisors (500356384560).

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

160045275600 is a wasteful number, since it uses less digits than its factorization.

160045275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 160045275600 in words is "one hundred sixty billion, forty-five million, two hundred seventy-five thousand, six hundred".