1079776728576 has 960 divisors, whose sum is σ = 4003410098688. Its totient is φ = 282927955968.

The previous prime is 1079776728559. The next prime is 1079776728631. The reversal of 1079776728576 is 6758276779701.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3204085080 + ... + 3204085416.

Almost surely, 2^{1079776728576} is an apocalyptic number.

1079776728576 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 1079776728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001705049344).

1079776728576 is an abundant number, since it is smaller than the sum of its proper divisors (2923633370112).

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

1079776728576 is an equidigital number, since it uses as much as digits as its factorization.

1079776728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 435637440, while the sum is 72.

The spelling of 1079776728576 in words is "one trillion, seventy-nine billion, seven hundred seventy-six million, seven hundred twenty-eight thousand, five hundred seventy-six".