10819158336 has 280 divisors, whose sum is σ = 36794253056. Its totient is φ = 3079296000.

The previous prime is 10819158263. The next prime is 10819158341. The reversal of 10819158336 is 63385191801.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10819158291 and 10819158300.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 14405961 + ... + 14406711.

Almost surely, 2^10819158336 is an apocalyptic number.

10819158336 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 10819158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18397126528).

10819158336 is an abundant number, since it is smaller than the sum of its proper divisors (25975094720).

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

10819158336 is an equidigital number, since it uses as much as digits as its factorization.

10819158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10819158336 in words is "ten billion, eight hundred nineteen million, one hundred fifty-eight thousand, three hundred thirty-six".