16828130198880 has 1536 divisors, whose sum is σ = 79300056084480. Its totient is φ = 3218811125760.

The previous prime is 16828130198861. The next prime is 16828130198909. The reversal of 16828130198880 is 8889103182861.

16828130198880 is a `hidden beast` number, since 1 + 68 + 281 + 30 + 198 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1612966144 + ... + 1612976576.

It is an arithmetic number, because the mean of its divisors is an integer number (51627640680).

Almost surely, 2^{16828130198880} is an apocalyptic number.

16828130198880 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 16828130198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39650028042240).

16828130198880 is an abundant number, since it is smaller than the sum of its proper divisors (62471925885600).

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

16828130198880 is a wasteful number, since it uses less digits than its factorization.

16828130198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10861 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The spelling of 16828130198880 in words is "sixteen trillion, eight hundred twenty-eight billion, one hundred thirty million, one hundred ninety-eight thousand, eight hundred eighty".