16520438160 has 640 divisors, whose sum is σ = 65001553920. Its totient is φ = 3832012800.

The previous prime is 16520438153. The next prime is 16520438161. The reversal of 16520438160 is 6183402561.

It is a happy number.

16520438160 is a `hidden beast` number, since 1 + 65 + 2 + 0 + 438 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (16520438161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26181045 + ... + 26181675.

It is an arithmetic number, because the mean of its divisors is an integer number (101564928).

Almost surely, 2^16520438160 is an apocalyptic number.

16520438160 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 16520438160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500776960).

16520438160 is an abundant number, since it is smaller than the sum of its proper divisors (48481115760).

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

16520438160 is a wasteful number, since it uses less digits than its factorization.

16520438160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

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

The spelling of 16520438160 in words is "sixteen billion, five hundred twenty million, four hundred thirty-eight thousand, one hundred sixty".