16886263680 has 1152 divisors, whose sum is σ = 73379779200. Its totient is φ = 3536732160.

The previous prime is 16886263657. The next prime is 16886263687. The reversal of 16886263680 is 8636268861.

16886263680 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 626 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16886263687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 203448919 + ... + 203449001.

It is an arithmetic number, because the mean of its divisors is an integer number (63697725).

Almost surely, 2^16886263680 is an apocalyptic number.

16886263680 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 16886263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689889600).

16886263680 is an abundant number, since it is smaller than the sum of its proper divisors (56493515520).

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

16886263680 is a wasteful number, since it uses less digits than its factorization.

16886263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16886263680 in words is "sixteen billion, eight hundred eighty-six million, two hundred sixty-three thousand, six hundred eighty".