10502361264 has 80 divisors (see below), whose sum is σ = 28694929280. Its totient is φ = 3300756480.

The previous prime is 10502361229. The next prime is 10502361271. The reversal of 10502361264 is 46216320501.

10502361264 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 2×10502361264² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 165144 + ... + 219720.

It is an arithmetic number, because the mean of its divisors is an integer number (358686616).

Almost surely, 2^10502361264 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 10502361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347464640).

10502361264 is an abundant number, since it is smaller than the sum of its proper divisors (18192568016).

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

10502361264 is a wasteful number, since it uses less digits than its factorization.

10502361264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54818 (or 54812 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10502361264 its reverse (46216320501), we get a palindrome (56718681765).

The spelling of 10502361264 in words is "ten billion, five hundred two million, three hundred sixty-one thousand, two hundred sixty-four".