16878416483880 has 256 divisors, whose sum is σ = 64302053990400. Its totient is φ = 3857724299520.

The previous prime is 16878416483867. The next prime is 16878416483891. The reversal of 16878416483880 is 8838461487861.

16878416483880 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 84 + 164 + 8 + 388 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16878416483799 and 16878416483808.

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 63 ways as a sum of consecutive naturals, for example, 185711329 + ... + 185802191.

It is an arithmetic number, because the mean of its divisors is an integer number (251179898400).

Almost surely, 2^{16878416483880} is an apocalyptic number.

16878416483880 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 16878416483880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32151026995200).

16878416483880 is an abundant number, since it is smaller than the sum of its proper divisors (47423637506520).

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

16878416483880 is a wasteful number, since it uses less digits than its factorization.

16878416483880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115461 (or 115451 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 16878416483880 in words is "sixteen trillion, eight hundred seventy-eight billion, four hundred sixteen million, four hundred eighty-three thousand, eight hundred eighty".