16516617007968 has 864 divisors, whose sum is σ = 60626293378560. Its totient is φ = 4173487718400.

The previous prime is 16516617007963. The next prime is 16516617008009. The reversal of 16516617007968 is 86970071661561.

16516617007968 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 6 + 617 + 0 + 0 + 7 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16516617007963) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1396039813 + ... + 1396051643.

It is an arithmetic number, because the mean of its divisors is an integer number (70169321040).

Almost surely, 2^{16516617007968} is an apocalyptic number.

16516617007968 is a gapful number since it is divisible by the number (18) 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 16516617007968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30313146689280).

16516617007968 is an abundant number, since it is smaller than the sum of its proper divisors (44109676370592).

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

16516617007968 is a wasteful number, since it uses less digits than its factorization.

16516617007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12010 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 16516617007968 in words is "sixteen trillion, five hundred sixteen billion, six hundred seventeen million, seven thousand, nine hundred sixty-eight".