10083892992 has 144 divisors (see below), whose sum is σ = 29397543840. Its totient is φ = 3054370816.

The previous prime is 10083892961. The next prime is 10083893011. The reversal of 10083892992 is 29929838001.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 365308 + ... + 391940.

It is an arithmetic number, because the mean of its divisors is an integer number (204149610).

Almost surely, 2^10083892992 is an apocalyptic number.

10083892992 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 10083892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14698771920).

10083892992 is an abundant number, since it is smaller than the sum of its proper divisors (19313650848).

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

10083892992 is a wasteful number, since it uses less digits than its factorization.

10083892992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26698 (or 26684 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 10083892992 in words is "ten billion, eighty-three million, eight hundred ninety-two thousand, nine hundred ninety-two".