10784198880 has 1152 divisors, whose sum is σ = 49453867008. Its totient is φ = 2075590656.

The previous prime is 10784198861. The next prime is 10784198891. The reversal of 10784198880 is 8889148701.

It is a happy number.

10784198880 is a `hidden beast` number, since 1 + 0 + 78 + 419 + 88 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 104700909 + ... + 104701011.

It is an arithmetic number, because the mean of its divisors is an integer number (42928704).

Almost surely, 2^10784198880 is an apocalyptic number.

10784198880 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 10784198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24726933504).

10784198880 is an abundant number, since it is smaller than the sum of its proper divisors (38669668128).

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

10784198880 is a wasteful number, since it uses less digits than its factorization.

10784198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The spelling of 10784198880 in words is "ten billion, seven hundred eighty-four million, one hundred ninety-eight thousand, eight hundred eighty".