10791419520 has 128 divisors (see below), whose sum is σ = 39311648640. Its totient is φ = 2466607104.

The previous prime is 10791419503. The next prime is 10791419533. The reversal of 10791419520 is 2591419701.

10791419520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388027 + ... + 414906.

It is an arithmetic number, because the mean of its divisors is an integer number (307122255).

Almost surely, 2^10791419520 is an apocalyptic number.

10791419520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10791419520 is an abundant number, since it is smaller than the sum of its proper divisors (28520229120).

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

10791419520 is an equidigital number, since it uses as much as digits as its factorization.

10791419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802962 (or 802950 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 10791419520 in words is "ten billion, seven hundred ninety-one million, four hundred nineteen thousand, five hundred twenty".