160509585899520 has 4800 divisors, whose sum is σ = 738557904268800. Its totient is φ = 32747405967360.

The previous prime is 160509585899479. The next prime is 160509585899569. The reversal of 160509585899520 is 25998585905061.

160509585899520 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 0 + 9 + 5 + 8 + 5 + 8 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 522832527207 + ... + 522832527513.

It is an arithmetic number, because the mean of its divisors is an integer number (153866230056).

Almost surely, 2^{160509585899520} is an apocalyptic number.

160509585899520 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 160509585899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369278952134400).

160509585899520 is an abundant number, since it is smaller than the sum of its proper divisors (578048318369280).

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

160509585899520 is a wasteful number, since it uses less digits than its factorization.

160509585899520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 349920000, while the sum is 72.

The spelling of 160509585899520 in words is "one hundred sixty trillion, five hundred nine billion, five hundred eighty-five million, eight hundred ninety-nine thousand, five hundred twenty".