1079289868800 has 480 divisors, whose sum is σ = 4188703780800. Its totient is φ = 241518182400.

The previous prime is 1079289868793. The next prime is 1079289868819. The reversal of 1079289868800 is 88689829701.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (66).

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 47 ways as a sum of consecutive naturals, for example, 5392926 + ... + 5589474.

It is an arithmetic number, because the mean of its divisors is an integer number (8726466210).

Almost surely, 2^{1079289868800} is an apocalyptic number.

1079289868800 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 1079289868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094351890400).

1079289868800 is an abundant number, since it is smaller than the sum of its proper divisors (3109413912000).

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

1079289868800 is a wasteful number, since it uses less digits than its factorization.

1079289868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196604 (or 196583 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 66.

The spelling of 1079289868800 in words is "one trillion, seventy-nine billion, two hundred eighty-nine million, eight hundred sixty-eight thousand, eight hundred".