10073805012 has 72 divisors (see below), whose sum is σ = 26323315200. Its totient is φ = 3244973760.

The previous prime is 10073805011. The next prime is 10073805031. The reversal of 10073805012 is 21050837001.

10073805012 is a `hidden beast` number, since 10 + 0 + 73 + 80 + 501 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073805011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823114 + ... + 835262.

It is an arithmetic number, because the mean of its divisors is an integer number (365601600).

Almost surely, 2^10073805012 is an apocalyptic number.

10073805012 is a gapful number since it is divisible by the number (12) 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 10073805012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161657600).

10073805012 is an abundant number, since it is smaller than the sum of its proper divisors (16249510188).

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

10073805012 is a wasteful number, since it uses less digits than its factorization.

10073805012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12933 (or 12928 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10073805012 in words is "ten billion, seventy-three million, eight hundred five thousand, twelve".