10680409080 has 96 divisors (see below), whose sum is σ = 37866918960. Its totient is φ = 2589189120.

The previous prime is 10680409079. The next prime is 10680409093. The reversal of 10680409080 is 8090408601.

It is a happy number.

It is a super-2 number, since 2×10680409080² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344577 + ... + 1352496.

Almost surely, 2^10680409080 is an apocalyptic number.

10680409080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10680409080 is an abundant number, since it is smaller than the sum of its proper divisors (27186509880).

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

10680409080 is a wasteful number, since it uses less digits than its factorization.

10680409080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697101 (or 2697094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10680409080 in words is "ten billion, six hundred eighty million, four hundred nine thousand, eighty".