10318264560 has 240 divisors, whose sum is σ = 35402421600. Its totient is φ = 2692417536.

The previous prime is 10318264447. The next prime is 10318264589. The reversal of 10318264560 is 6546281301.

It is a happy number.

10318264560 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 8 + 2 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12446226 + ... + 12447054.

It is an arithmetic number, because the mean of its divisors is an integer number (147510090).

Almost surely, 2^10318264560 is an apocalyptic number.

10318264560 is a gapful number since it is divisible by the number (10) 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 10318264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17701210800).

10318264560 is an abundant number, since it is smaller than the sum of its proper divisors (25084157040).

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

10318264560 is a wasteful number, since it uses less digits than its factorization.

10318264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10318264560 in words is "ten billion, three hundred eighteen million, two hundred sixty-four thousand, five hundred sixty".