160457569920 has 256 divisors, whose sum is σ = 575485632000. Its totient is φ = 42246696960.

The previous prime is 160457569913. The next prime is 160457569931. The reversal of 160457569920 is 29965754061.

160457569920 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 57 + 569 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306350 + ... + 1423890.

It is an arithmetic number, because the mean of its divisors is an integer number (2247990750).

Almost surely, 2^160457569920 is an apocalyptic number.

160457569920 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 160457569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287742816000).

160457569920 is an abundant number, since it is smaller than the sum of its proper divisors (415028062080).

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

160457569920 is a wasteful number, since it uses less digits than its factorization.

160457569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117648 (or 117630 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 160457569920 in words is "one hundred sixty billion, four hundred fifty-seven million, five hundred sixty-nine thousand, nine hundred twenty".