10782809856 has 864 divisors, whose sum is σ = 41756467200. Its totient is φ = 2717245440.

The previous prime is 10782809803. The next prime is 10782809867. The reversal of 10782809856 is 65890828701.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 136491225 + ... + 136491303.

Almost surely, 2^10782809856 is an apocalyptic number.

10782809856 is a gapful number since it is divisible by the number (16) 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 10782809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20878233600).

10782809856 is an abundant number, since it is smaller than the sum of its proper divisors (30973657344).

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

10782809856 is a wasteful number, since it uses less digits than its factorization.

10782809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10782809856 in words is "ten billion, seven hundred eighty-two million, eight hundred nine thousand, eight hundred fifty-six".