10819386432 has 224 divisors, whose sum is σ = 34101267840. Its totient is φ = 3393570816.

The previous prime is 10819386419. The next prime is 10819386437. The reversal of 10819386432 is 23468391801.

It is not an unprimeable number, because it can be changed into a prime (10819386437) 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 31 ways as a sum of consecutive naturals, for example, 2377183 + ... + 2381729.

Almost surely, 2^10819386432 is an apocalyptic number.

10819386432 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 10819386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050633920).

10819386432 is an abundant number, since it is smaller than the sum of its proper divisors (23281881408).

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

10819386432 is an frugal number, since it uses more digits than its factorization.

10819386432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10819386432 in words is "ten billion, eight hundred nineteen million, three hundred eighty-six thousand, four hundred thirty-two".