16006312553000 has 256 divisors, whose sum is σ = 48203215257600. Its totient is φ = 4828044960000.

The previous prime is 16006312552999. The next prime is 16006312553003. The reversal of 16006312553000 is 35521360061.

It is not an unprimeable number, because it can be changed into a prime (16006312553003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965810 + ... + 5739809.

It is an arithmetic number, because the mean of its divisors is an integer number (188293809600).

Almost surely, 2^{16006312553000} is an apocalyptic number.

16006312553000 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 16006312553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101607628800).

16006312553000 is an abundant number, since it is smaller than the sum of its proper divisors (32196902704600).

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

16006312553000 is a wasteful number, since it uses less digits than its factorization.

16006312553000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705689 (or 6705675 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 16006312553000 in words is "sixteen trillion, six billion, three hundred twelve million, five hundred fifty-three thousand".