10819601376 has 48 divisors (see below), whose sum is σ = 29896272000. Its totient is φ = 3416715648.

The previous prime is 10819601347. The next prime is 10819601389. The reversal of 10819601376 is 67310691801.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2964076 + ... + 2967723.

It is an arithmetic number, because the mean of its divisors is an integer number (622839000).

Almost surely, 2^10819601376 is an apocalyptic number.

10819601376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10819601376 is an abundant number, since it is smaller than the sum of its proper divisors (19076670624).

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

10819601376 is a wasteful number, since it uses less digits than its factorization.

10819601376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931831 (or 5931823 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 10819601376 in words is "ten billion, eight hundred nineteen million, six hundred one thousand, three hundred seventy-six".