160835338466880 has 1344 divisors, whose sum is σ = 651300182507520. Its totient is φ = 32909893632000.

The previous prime is 160835338466879. The next prime is 160835338466921. The reversal of 160835338466880 is 88664833538061.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85962232345 + ... + 85962234215.

It is an arithmetic number, because the mean of its divisors is an integer number (484598350080).

Almost surely, 2^{160835338466880} is an apocalyptic number.

160835338466880 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 160835338466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325650091253760).

160835338466880 is an abundant number, since it is smaller than the sum of its proper divisors (490464844040640).

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

160835338466880 is a wasteful number, since it uses less digits than its factorization.

160835338466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 69.

The spelling of 160835338466880 in words is "one hundred sixty trillion, eight hundred thirty-five billion, three hundred thirty-eight million, four hundred sixty-six thousand, eight hundred eighty".