10083954496 has 112 divisors (see below), whose sum is σ = 25178186880. Its totient is φ = 3892561920.

The previous prime is 10083954457. The next prime is 10083954523. The reversal of 10083954496 is 69445938001.

It is a happy number.

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

It is a super-2 number, since 2×10083954496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527766 + ... + 546538.

It is an arithmetic number, because the mean of its divisors is an integer number (224805240).

Almost surely, 2^10083954496 is an apocalyptic number.

10083954496 is a gapful number since it is divisible by the number (16) 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 10083954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589093440).

10083954496 is an abundant number, since it is smaller than the sum of its proper divisors (15094232384).

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

10083954496 is a wasteful number, since it uses less digits than its factorization.

10083954496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18912 (or 18902 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 10083954496 in words is "ten billion, eighty-three million, nine hundred fifty-four thousand, four hundred ninety-six".