10856626650 has 144 divisors (see below), whose sum is σ = 29547718200. Its totient is φ = 2857697280.

The previous prime is 10856626631. The next prime is 10856626709. The reversal of 10856626650 is 5662665801.

It is a happy number.

10856626650 is a `hidden beast` number, since 1 + 0 + 8 + 566 + 26 + 65 + 0 = 666.

10856626650 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 2495901681 + 8360724969 = 49959^2 + 91437^2 .

It is a super-3 number, since 3×10856626650³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10856626596 and 10856626605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14117466 + ... + 14118234.

Almost surely, 2^10856626650 is an apocalyptic number.

10856626650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10856626650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773859100).

10856626650 is an abundant number, since it is smaller than the sum of its proper divisors (18691091550).

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

10856626650 is a wasteful number, since it uses less digits than its factorization.

10856626650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10856626650 in words is "ten billion, eight hundred fifty-six million, six hundred twenty-six thousand, six hundred fifty".