160936917120 has 960 divisors, whose sum is σ = 673891021440. Its totient is φ = 36700231680.

The previous prime is 160936917107. The next prime is 160936917149. The reversal of 160936917120 is 21719639061.

160936917120 is a `hidden beast` number, since 1 + 609 + 3 + 6 + 9 + 17 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 373403305 + ... + 373403735.

It is an arithmetic number, because the mean of its divisors is an integer number (701969814).

Almost surely, 2^160936917120 is an apocalyptic number.

160936917120 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 160936917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336945510720).

160936917120 is an abundant number, since it is smaller than the sum of its proper divisors (512954104320).

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

160936917120 is an frugal number, since it uses more digits than its factorization.

160936917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 160936917120 in words is "one hundred sixty billion, nine hundred thirty-six million, nine hundred seventeen thousand, one hundred twenty".