10426056336 has 120 divisors (see below), whose sum is σ = 30231335160. Its totient is φ = 3350323200.

The previous prime is 10426056253. The next prime is 10426056343. The reversal of 10426056336 is 63365062401.

10426056336 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 60 + 563 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3394227600 + 7031828736 = 58260^2 + 83856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10426056336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3426976 + ... + 3430016.

It is an arithmetic number, because the mean of its divisors is an integer number (251927793).

Almost surely, 2^10426056336 is an apocalyptic number.

10426056336 is a gapful number since it is divisible by the number (16) 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 10426056336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115667580).

10426056336 is an abundant number, since it is smaller than the sum of its proper divisors (19805278824).

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

10426056336 is a wasteful number, since it uses less digits than its factorization.

10426056336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10426056336 in words is "ten billion, four hundred twenty-six million, fifty-six thousand, three hundred thirty-six".