1079959360000 has 200 divisors, whose sum is σ = 2701533591900. Its totient is φ = 431161344000.

The previous prime is 1079959359977. The next prime is 1079959360001. The reversal of 1079959360000 is 639599701.

It can be written as a sum of positive squares in 10 ways, for example, as 255488256 + 1079703871744 = 15984^2 + 1039088^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1079959360001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184637076 + ... + 184642924.

Almost surely, 2^{1079959360000} is an apocalyptic number.

1079959360000 is a gapful number since it is divisible by the number (10) 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 1079959360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350766795950).

1079959360000 is an abundant number, since it is smaller than the sum of its proper divisors (1621574231900).

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

1079959360000 is an frugal number, since it uses more digits than its factorization.

1079959360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6433 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 49.

The spelling of 1079959360000 in words is "one trillion, seventy-nine billion, nine hundred fifty-nine million, three hundred sixty thousand".