10856800416 has 96 divisors (see below), whose sum is σ = 35531371008. Its totient is φ = 2819946240.

The previous prime is 10856800411. The next prime is 10856800477. The reversal of 10856800416 is 61400865801.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10856800411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 726970 + ... + 741753.

It is an arithmetic number, because the mean of its divisors is an integer number (370118448).

Almost surely, 2^10856800416 is an apocalyptic number.

10856800416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10856800416 is an abundant number, since it is smaller than the sum of its proper divisors (24674570592).

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

10856800416 is a wasteful number, since it uses less digits than its factorization.

10856800416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468754 (or 1468746 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10856800416 in words is "ten billion, eight hundred fifty-six million, eight hundred thousand, four hundred sixteen".