10406886048 has 192 divisors, whose sum is σ = 32875315200. Its totient is φ = 3183805440.

The previous prime is 10406886047. The next prime is 10406886053. The reversal of 10406886048 is 84068860401.

It is a junction number, because it is equal to n+sod(n) for n = 10406885994 and 10406886012.

It is not an unprimeable number, because it can be changed into a prime (10406886047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030433 + ... + 2035551.

It is an arithmetic number, because the mean of its divisors is an integer number (171225600).

Almost surely, 2^10406886048 is an apocalyptic number.

10406886048 is a gapful number since it is divisible by the number (18) 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 10406886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437657600).

10406886048 is an abundant number, since it is smaller than the sum of its proper divisors (22468429152).

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

10406886048 is a wasteful number, since it uses less digits than its factorization.

10406886048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10406886048 in words is "ten billion, four hundred six million, eight hundred eighty-six thousand, forty-eight".