10406681152 has 168 divisors, whose sum is σ = 24984626688. Its totient is φ = 4283596800.

The previous prime is 10406681149. The next prime is 10406681171. The reversal of 10406681152 is 25118660401.

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 23 ways as a sum of consecutive naturals, for example, 16234752 + ... + 16235392.

It is an arithmetic number, because the mean of its divisors is an integer number (148718016).

Almost surely, 2^10406681152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12492313344).

10406681152 is an abundant number, since it is smaller than the sum of its proper divisors (14577945536).

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

10406681152 is a wasteful number, since it uses less digits than its factorization.

10406681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 10406681152 in words is "ten billion, four hundred six million, six hundred eighty-one thousand, one hundred fifty-two".