160284378240 has 1152 divisors, whose sum is σ = 675231448320. Its totient is φ = 34898411520.

The previous prime is 160284378227. The next prime is 160284378269. The reversal of 160284378240 is 42873482061.

It is a happy number.

160284378240 is a `hidden beast` number, since 1 + 60 + 284 + 3 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 570406900 + ... + 570407180.

It is an arithmetic number, because the mean of its divisors is an integer number (586138410).

Almost surely, 2^160284378240 is an apocalyptic number.

160284378240 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 160284378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337615724160).

160284378240 is an abundant number, since it is smaller than the sum of its proper divisors (514947070080).

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

160284378240 is a wasteful number, since it uses less digits than its factorization.

160284378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 160284378240 in words is "one hundred sixty billion, two hundred eighty-four million, three hundred seventy-eight thousand, two hundred forty".