1190798056800 has 864 divisors, whose sum is σ = 4638519115776. Its totient is φ = 285069312000.

The previous prime is 1190798056793. The next prime is 1190798056801. The reversal of 1190798056800 is 86508970911.

1190798056800 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 79 + 8 + 0 + 568 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1190798056801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3373365424 + ... + 3373365776.

It is an arithmetic number, because the mean of its divisors is an integer number (5368656384).

Almost surely, 2^{1190798056800} is an apocalyptic number.

1190798056800 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 1190798056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319259557888).

1190798056800 is an abundant number, since it is smaller than the sum of its proper divisors (3447721058976).

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

1190798056800 is a wasteful number, since it uses less digits than its factorization.

1190798056800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1190798056800 in words is "one trillion, one hundred ninety billion, seven hundred ninety-eight million, fifty-six thousand, eight hundred".