16317987840 has 1320 divisors, whose sum is σ = 75221551152. Its totient is φ = 3344302080.

The previous prime is 16317987821. The next prime is 16317987869. The reversal of 16317987840 is 4878971361.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 223534044 + ... + 223534116.

Almost surely, 2^16317987840 is an apocalyptic number.

16317987840 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 16317987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37610775576).

16317987840 is an abundant number, since it is smaller than the sum of its proper divisors (58903563312).

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

16317987840 is a wasteful number, since it uses less digits than its factorization.

16317987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 16317987840 in words is "sixteen billion, three hundred seventeen million, nine hundred eighty-seven thousand, eight hundred forty".