16826919120 has 240 divisors, whose sum is σ = 62812444032. Its totient is φ = 4002186240.

The previous prime is 16826919091. The next prime is 16826919167. The reversal of 16826919120 is 2191962861.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399717 + ... + 439803.

Almost surely, 2^16826919120 is an apocalyptic number.

16826919120 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 16826919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406222016).

16826919120 is an abundant number, since it is smaller than the sum of its proper divisors (45985524912).

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

16826919120 is a wasteful number, since it uses less digits than its factorization.

16826919120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40170 (or 40161 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 16826919120 in words is "sixteen billion, eight hundred twenty-six million, nine hundred nineteen thousand, one hundred twenty".