10425683268 has 288 divisors, whose sum is σ = 37248906240. Its totient is φ = 2367947520.

The previous prime is 10425683243. The next prime is 10425683273. The reversal of 10425683268 is 86238652401.

10425683268 is a `hidden beast` number, since 10 + 42 + 568 + 32 + 6 + 8 = 666.

10425683268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 677071 + ... + 692297.

It is an arithmetic number, because the mean of its divisors is an integer number (129336480).

Almost surely, 2^10425683268 is an apocalyptic number.

10425683268 is a gapful number since it is divisible by the number (18) 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 10425683268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624453120).

10425683268 is an abundant number, since it is smaller than the sum of its proper divisors (26823222972).

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

10425683268 is a wasteful number, since it uses less digits than its factorization.

10425683268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15287 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10425683268 in words is "ten billion, four hundred twenty-five million, six hundred eighty-three thousand, two hundred sixty-eight".