10784551680 has 288 divisors, whose sum is σ = 43738329600. Its totient is φ = 2464985088.

The previous prime is 10784551667. The next prime is 10784551691. The reversal of 10784551680 is 8615548701.

10784551680 is a `hidden beast` number, since 10 + 7 + 8 + 4 + 551 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 219631 + ... + 264209.

It is an arithmetic number, because the mean of its divisors is an integer number (151869200).

Almost surely, 2^10784551680 is an apocalyptic number.

10784551680 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 10784551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21869164800).

10784551680 is an abundant number, since it is smaller than the sum of its proper divisors (32953777920).

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

10784551680 is an equidigital number, since it uses as much as digits as its factorization.

10784551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44616 (or 44596 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 10784551680 in words is "ten billion, seven hundred eighty-four million, five hundred fifty-one thousand, six hundred eighty".