160095398400 has 1920 divisors, whose sum is σ = 732291225600. Its totient is φ = 33861058560.

The previous prime is 160095398399. The next prime is 160095398401. The reversal of 160095398400 is 4893590061.

It is a happy number.

160095398400 is a `hidden beast` number, since 1 + 600 + 9 + 5 + 39 + 8 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (160095398399) and next prime (160095398401).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160095398401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3723148779 + ... + 3723148821.

It is an arithmetic number, because the mean of its divisors is an integer number (381401680).

Almost surely, 2^160095398400 is an apocalyptic number.

160095398400 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 160095398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366145612800).

160095398400 is an abundant number, since it is smaller than the sum of its proper divisors (572195827200).

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

160095398400 is an frugal number, since it uses more digits than its factorization.

160095398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 160095398400 in words is "one hundred sixty billion, ninety-five million, three hundred ninety-eight thousand, four hundred".