16580324160 has 560 divisors, whose sum is σ = 62800626240. Its totient is φ = 4140564480.

The previous prime is 16580324147. The next prime is 16580324161. The reversal of 16580324160 is 6142308561.

It is a happy number.

16580324160 is a `hidden beast` number, since 1 + 6 + 580 + 32 + 41 + 6 + 0 = 666.

It is a super-3 number, since 3×16580324160³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16580324161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64514752 + ... + 64515008.

Almost surely, 2^16580324160 is an apocalyptic number.

16580324160 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 16580324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31400313120).

16580324160 is an abundant number, since it is smaller than the sum of its proper divisors (46220302080).

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

16580324160 is a wasteful number, since it uses less digits than its factorization.

16580324160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16580324160 in words is "sixteen billion, five hundred eighty million, three hundred twenty-four thousand, one hundred sixty".