10706087808 has 288 divisors, whose sum is σ = 33700343040. Its totient is φ = 3260694528.

The previous prime is 10706087803. The next prime is 10706087839. The reversal of 10706087808 is 80878060701.

10706087808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×10706087808² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706087803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24725160 + ... + 24725592.

It is an arithmetic number, because the mean of its divisors is an integer number (117015080).

Almost surely, 2^10706087808 is an apocalyptic number.

10706087808 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 10706087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850171520).

10706087808 is an abundant number, since it is smaller than the sum of its proper divisors (22994255232).

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

10706087808 is a wasteful number, since it uses less digits than its factorization.

10706087808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 10706087808 in words is "ten billion, seven hundred six million, eighty-seven thousand, eight hundred eight".