10686424000 has 112 divisors (see below), whose sum is σ = 30245791680. Its totient is φ = 3663897600.

The previous prime is 10686423971. The next prime is 10686424031. The reversal of 10686424000 is 42468601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10686424000² (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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39415 + ... + 151414.

Almost surely, 2^10686424000 is an apocalyptic number.

10686424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10686424000 is an abundant number, since it is smaller than the sum of its proper divisors (19559367680).

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

10686424000 is an equidigital number, since it uses as much as digits as its factorization.

10686424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190863 (or 190843 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 10686424000 in words is "ten billion, six hundred eighty-six million, four hundred twenty-four thousand".