10415626056 has 160 divisors (see below), whose sum is σ = 32039599680. Its totient is φ = 3135024000.

The previous prime is 10415626037. The next prime is 10415626087. The reversal of 10415626056 is 65062651401.

10415626056 is a `hidden beast` number, since 1 + 0 + 41 + 5 + 6 + 2 + 605 + 6 = 666.

10415626056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10415626056² (a number of 21 digits) contains 22 as substring.

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 10415626056.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1071490 + ... + 1081166.

It is an arithmetic number, because the mean of its divisors is an integer number (200247498).

Almost surely, 2^10415626056 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 10415626056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16019799840).

10415626056 is an abundant number, since it is smaller than the sum of its proper divisors (21623973624).

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

10415626056 is a wasteful number, since it uses less digits than its factorization.

10415626056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9857 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10415626056 in words is "ten billion, four hundred fifteen million, six hundred twenty-six thousand, fifty-six".