16008315120 has 360 divisors, whose sum is σ = 63815972064. Its totient is φ = 3658203648.

The previous prime is 16008315107. The next prime is 16008315121. The reversal of 16008315120 is 2151380061.

16008315120 is a `hidden beast` number, since 1 + 600 + 8 + 3 + 1 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×16008315120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16008315121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3671982 + ... + 3676338.

Almost surely, 2^16008315120 is an apocalyptic number.

16008315120 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 16008315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907986032).

16008315120 is an abundant number, since it is smaller than the sum of its proper divisors (47807656944).

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

16008315120 is an frugal number, since it uses more digits than its factorization.

16008315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 16008315120 its reverse (2151380061), we get a palindrome (18159695181).

The spelling of 16008315120 in words is "sixteen billion, eight million, three hundred fifteen thousand, one hundred twenty".