16826793984 has 1024 divisors, whose sum is σ = 70463232000. Its totient is φ = 3822059520.

The previous prime is 16826793937. The next prime is 16826794009. The reversal of 16826793984 is 48939762861.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885620727 + ... + 885620745.

It is an arithmetic number, because the mean of its divisors is an integer number (68811750).

Almost surely, 2^16826793984 is an apocalyptic number.

16826793984 is a gapful number since it is divisible by the number (14) 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 16826793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35231616000).

16826793984 is an abundant number, since it is smaller than the sum of its proper divisors (53636438016).

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

16826793984 is a wasteful number, since it uses less digits than its factorization.

16826793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 16826793984 in words is "sixteen billion, eight hundred twenty-six million, seven hundred ninety-three thousand, nine hundred eighty-four".