16906119840 has 288 divisors, whose sum is σ = 58807135296. Its totient is φ = 4422082560.

The previous prime is 16906119823. The next prime is 16906119851. The reversal of 16906119840 is 4891160961.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17410555 + ... + 17411525.

It is an arithmetic number, because the mean of its divisors is an integer number (204191442).

Almost surely, 2^16906119840 is an apocalyptic number.

16906119840 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 16906119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29403567648).

16906119840 is an abundant number, since it is smaller than the sum of its proper divisors (41901015456).

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

16906119840 is a wasteful number, since it uses less digits than its factorization.

16906119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1201 counting only the distinct ones).

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

The spelling of 16906119840 in words is "sixteen billion, nine hundred six million, one hundred nineteen thousand, eight hundred forty".