10509430640 has 80 divisors (see below), whose sum is σ = 25322932800. Its totient is φ = 4051439616.

The previous prime is 10509430639. The next prime is 10509430661. The reversal of 10509430640 is 4603490501.

10509430640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10509430640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509430597 and 10509430606.

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 15 ways as a sum of consecutive naturals, for example, 1371941 + ... + 1379579.

It is an arithmetic number, because the mean of its divisors is an integer number (316536660).

Almost surely, 2^10509430640 is an apocalyptic number.

10509430640 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 10509430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661466400).

10509430640 is an abundant number, since it is smaller than the sum of its proper divisors (14813502160).

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

10509430640 is a wasteful number, since it uses less digits than its factorization.

10509430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 10509430640 in words is "ten billion, five hundred nine million, four hundred thirty thousand, six hundred forty".