16882871040 has 576 divisors, whose sum is σ = 72092697600. Its totient is φ = 3654844416.

The previous prime is 16882871023. The next prime is 16882871069. The reversal of 16882871040 is 4017828861.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4594644 + ... + 4598316.

Almost surely, 2^16882871040 is an apocalyptic number.

16882871040 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 16882871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36046348800).

16882871040 is an abundant number, since it is smaller than the sum of its proper divisors (55209826560).

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

16882871040 is a wasteful number, since it uses less digits than its factorization.

16882871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 16882871040 in words is "sixteen billion, eight hundred eighty-two million, eight hundred seventy-one thousand, forty".