16008652800 has 648 divisors, whose sum is σ = 66787033950. Its totient is φ = 3653959680.

The previous prime is 16008652753. The next prime is 16008652801. The reversal of 16008652800 is 825680061.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8725054464 + 7283598336 = 93408^2 + 85344^2 .

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 (16008652801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 22578846 + ... + 22579554.

Almost surely, 2^16008652800 is an apocalyptic number.

16008652800 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 16008652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33393516975).

16008652800 is an abundant number, since it is smaller than the sum of its proper divisors (50778381150).

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

16008652800 is a wasteful number, since it uses less digits than its factorization.

16008652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16008652800 in words is "sixteen billion, eight million, six hundred fifty-two thousand, eight hundred".