16206996960 has 1152 divisors, whose sum is σ = 74535552000. Its totient is φ = 3170119680.

The previous prime is 16206996913. The next prime is 16206996997. The reversal of 16206996960 is 6969960261.

It is a happy number.

16206996960 is a `hidden beast` number, since 1 + 620 + 6 + 9 + 9 + 6 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×16206996960² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16206996897 and 16206996906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103229202 + ... + 103229358.

It is an arithmetic number, because the mean of its divisors is an integer number (64701000).

Almost surely, 2^16206996960 is an apocalyptic number.

16206996960 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 16206996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37267776000).

16206996960 is an abundant number, since it is smaller than the sum of its proper divisors (58328555040).

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

16206996960 is a wasteful number, since it uses less digits than its factorization.

16206996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 16206996960 in words is "sixteen billion, two hundred six million, nine hundred ninety-six thousand, nine hundred sixty".