1079827216200 has 288 divisors, whose sum is σ = 3924245707200. Its totient is φ = 275433903360.

The previous prime is 1079827216199. The next prime is 1079827216211. The reversal of 1079827216200 is 26127289701.

It is a happy number.

1079827216200 is a `hidden beast` number, since 10 + 7 + 9 + 8 + 2 + 7 + 2 + 1 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 634786 + ... + 1600814.

It is an arithmetic number, because the mean of its divisors is an integer number (13625853150).

Almost surely, 2^{1079827216200} is an apocalyptic number.

1079827216200 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 1079827216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962122853600).

1079827216200 is an abundant number, since it is smaller than the sum of its proper divisors (2844418491000).

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

1079827216200 is a wasteful number, since it uses less digits than its factorization.

1079827216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966083 (or 966062 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1079827216200 in words is "one trillion, seventy-nine billion, eight hundred twenty-seven million, two hundred sixteen thousand, two hundred".