160953271200 has 648 divisors, whose sum is σ = 619186932000. Its totient is φ = 39231682560.

The previous prime is 160953271187. The next prime is 160953271201. The reversal of 160953271200 is 2172359061.

160953271200 is a `hidden beast` number, since 1 + 609 + 5 + 3 + 27 + 1 + 20 + 0 = 666.

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 (160953271201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 115048101 + ... + 115049499.

Almost surely, 2^160953271200 is an apocalyptic number.

160953271200 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 160953271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309593466000).

160953271200 is an abundant number, since it is smaller than the sum of its proper divisors (458233660800).

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

160953271200 is a wasteful number, since it uses less digits than its factorization.

160953271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 160953271200 in words is "one hundred sixty billion, nine hundred fifty-three million, two hundred seventy-one thousand, two hundred".