160908761040 has 240 divisors, whose sum is σ = 533139091200. Its totient is φ = 40134362112.

The previous prime is 160908761017. The next prime is 160908761071. The reversal of 160908761040 is 40167809061.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 160908760983 and 160908761001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6832806 + ... + 6856314.

It is an arithmetic number, because the mean of its divisors is an integer number (2221412880).

Almost surely, 2^160908761040 is an apocalyptic number.

160908761040 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 160908761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266569545600).

160908761040 is an abundant number, since it is smaller than the sum of its proper divisors (372230330160).

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

160908761040 is a wasteful number, since it uses less digits than its factorization.

160908761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23642 (or 23617 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 160908761040 in words is "one hundred sixty billion, nine hundred eight million, seven hundred sixty-one thousand, forty".