10229240560 has 160 divisors (see below), whose sum is σ = 29782950912. Its totient is φ = 3174205440.

The previous prime is 10229240491. The next prime is 10229240573. The reversal of 10229240560 is 6504292201.

10229240560 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 2×10229240560² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1431717 + ... + 1438843.

Almost surely, 2^10229240560 is an apocalyptic number.

10229240560 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 10229240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14891475456).

10229240560 is an abundant number, since it is smaller than the sum of its proper divisors (19553710352).

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

10229240560 is a wasteful number, since it uses less digits than its factorization.

10229240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 10229240560 in words is "ten billion, two hundred twenty-nine million, two hundred forty thousand, five hundred sixty".