160420664160 has 768 divisors, whose sum is σ = 602424345600. Its totient is φ = 39797194752.

The previous prime is 160420664153. The next prime is 160420664167. The reversal of 160420664160 is 61466024061.

160420664160 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 2 + 0 + 6 + 641 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (160420664153) and next prime (160420664167).

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 (160420664167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522542727 + ... + 522543033.

It is an arithmetic number, because the mean of its divisors is an integer number (784406700).

Almost surely, 2^160420664160 is an apocalyptic number.

160420664160 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 160420664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301212172800).

160420664160 is an abundant number, since it is smaller than the sum of its proper divisors (442003681440).

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

160420664160 is a wasteful number, since it uses less digits than its factorization.

160420664160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 160420664160 in words is "one hundred sixty billion, four hundred twenty million, six hundred sixty-four thousand, one hundred sixty".