160395042562560 has 3840 divisors, whose sum is σ = 693198182476800. Its totient is φ = 33845063712768.

The previous prime is 160395042562549. The next prime is 160395042562561. The reversal of 160395042562560 is 65265240593061.

160395042562560 is a `hidden beast` number, since 1 + 6 + 0 + 3 + 9 + 5 + 0 + 4 + 2 + 5 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a junction number, because it is equal to n+sod(n) for n = 160395042562497 and 160395042562506.

It is not an unprimeable number, because it can be changed into a prime (160395042562561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 281889353956 + ... + 281889354524.

It is an arithmetic number, because the mean of its divisors is an integer number (180520360020).

Almost surely, 2^{160395042562560} is an apocalyptic number.

160395042562560 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 160395042562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346599091238400).

160395042562560 is an abundant number, since it is smaller than the sum of its proper divisors (532803139914240).

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

160395042562560 is a wasteful number, since it uses less digits than its factorization.

160395042562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 160395042562560 in words is "one hundred sixty trillion, three hundred ninety-five billion, forty-two million, five hundred sixty-two thousand, five hundred sixty".