160905080641536 has 1920 divisors, whose sum is σ = 606995042734080. Its totient is φ = 41254753075200.

The previous prime is 160905080641531. The next prime is 160905080641537. The reversal of 160905080641536 is 635146080509061.

160905080641536 is a `hidden beast` number, since 1 + 6 + 0 + 90 + 508 + 0 + 6 + 4 + 15 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160905080641531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 611806390141 + ... + 611806390403.

It is an arithmetic number, because the mean of its divisors is an integer number (316143251424).

Almost surely, 2^{160905080641536} is an apocalyptic number.

160905080641536 is a gapful number since it is divisible by the number (16) 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 160905080641536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303497521367040).

160905080641536 is an abundant number, since it is smaller than the sum of its proper divisors (446089962092544).

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

160905080641536 is a wasteful number, since it uses less digits than its factorization.

160905080641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 160905080641536 in words is "one hundred sixty trillion, nine hundred five billion, eighty million, six hundred forty-one thousand, five hundred thirty-six".