1009719128816 has 20 divisors (see below), whose sum is σ = 1956384158400. Its totient is φ = 504845797632.

The previous prime is 1009719128813. The next prime is 1009719128827. The reversal of 1009719128816 is 6188219179001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009719128813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241856 + ... + 1441503.

It is an arithmetic number, because the mean of its divisors is an integer number (97819207920).

Almost surely, 2^{1009719128816} is an apocalyptic number.

1009719128816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1009719128816 is a deficient number, since it is larger than the sum of its proper divisors (946665029584).

1009719128816 is a wasteful number, since it uses less digits than its factorization.

1009719128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720856 (or 1720850 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 53.

The spelling of 1009719128816 in words is "one trillion, nine billion, seven hundred nineteen million, one hundred twenty-eight thousand, eight hundred sixteen".