10430808192 has 192 divisors, whose sum is σ = 34621329600. Its totient is φ = 2952640512.

The previous prime is 10430808187. The next prime is 10430808217. The reversal of 10430808192 is 29180803401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 873043 + ... + 884909.

It is an arithmetic number, because the mean of its divisors is an integer number (180319425).

Almost surely, 2^10430808192 is an apocalyptic number.

10430808192 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 10430808192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310664800).

10430808192 is an abundant number, since it is smaller than the sum of its proper divisors (24190521408).

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

10430808192 is a wasteful number, since it uses less digits than its factorization.

10430808192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12003 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10430808192 in words is "ten billion, four hundred thirty million, eight hundred eight thousand, one hundred ninety-two".