10506382680 has 64 divisors (see below), whose sum is σ = 31598684640. Its totient is φ = 2794632192.

The previous prime is 10506382673. The next prime is 10506382699. The reversal of 10506382680 is 8628360501.

It is a happy number.

10506382680 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 2×10506382680² (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 15 ways as a sum of consecutive naturals, for example, 62629 + ... + 157908.

Almost surely, 2^10506382680 is an apocalyptic number.

10506382680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506382680 is an abundant number, since it is smaller than the sum of its proper divisors (21092301960).

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

10506382680 is a wasteful number, since it uses less digits than its factorization.

10506382680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220948 (or 220944 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10506382680 in words is "ten billion, five hundred six million, three hundred eighty-two thousand, six hundred eighty".