160457320800 has 864 divisors, whose sum is σ = 675631756800. Its totient is φ = 35799321600.

The previous prime is 160457320799. The next prime is 160457320847. The reversal of 160457320800 is 8023754061.

160457320800 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 573 + 2 + 0 + 80 + 0 = 666.

It is a super-2 number, since 2×160457320800² (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 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 143 ways as a sum of consecutive naturals, for example, 106192045 + ... + 106193555.

It is an arithmetic number, because the mean of its divisors is an integer number (781981200).

Almost surely, 2^160457320800 is an apocalyptic number.

160457320800 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 160457320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337815878400).

160457320800 is an abundant number, since it is smaller than the sum of its proper divisors (515174436000).

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

160457320800 is a wasteful number, since it uses less digits than its factorization.

160457320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 160457320800 in words is "one hundred sixty billion, four hundred fifty-seven million, three hundred twenty thousand, eight hundred".