160375334400 has 960 divisors, whose sum is σ = 632849405760. Its totient is φ = 40131624960.

The previous prime is 160375334381. The next prime is 160375334401. The reversal of 160375334400 is 4433573061.

160375334400 is a `hidden beast` number, since 1 + 603 + 7 + 5 + 3 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (160375334401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475891032 + ... + 475891368.

It is an arithmetic number, because the mean of its divisors is an integer number (659218131).

Almost surely, 2^160375334400 is an apocalyptic number.

160375334400 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 160375334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316424702880).

160375334400 is an abundant number, since it is smaller than the sum of its proper divisors (472474071360).

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

160375334400 is an frugal number, since it uses more digits than its factorization.

160375334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 160375334400 in words is "one hundred sixty billion, three hundred seventy-five million, three hundred thirty-four thousand, four hundred".