10260663516 has 72 divisors (see below), whose sum is σ = 26482332240. Its totient is φ = 3349000704.

The previous prime is 10260663487. The next prime is 10260663521. The reversal of 10260663516 is 61536606201.

10260663516 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 6 + 635 + 16 = 666.

10260663516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 322450 + ... + 352838.

It is an arithmetic number, because the mean of its divisors is an integer number (367810170).

Almost surely, 2^10260663516 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 10260663516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13241166120).

10260663516 is an abundant number, since it is smaller than the sum of its proper divisors (16221668724).

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

10260663516 is a wasteful number, since it uses less digits than its factorization.

10260663516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595 (or 30590 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10260663516 in words is "ten billion, two hundred sixty million, six hundred sixty-three thousand, five hundred sixteen".