1200768053760 has 960 divisors, whose sum is σ = 4727277434880. Its totient is φ = 289700167680.

The previous prime is 1200768053699. The next prime is 1200768053833. The reversal of 1200768053760 is 673508670021.

1200768053760 is a `hidden beast` number, since 1 + 200 + 76 + 8 + 0 + 5 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 2593451289 + ... + 2593451751.

It is an arithmetic number, because the mean of its divisors is an integer number (4924247328).

Almost surely, 2^{1200768053760} is an apocalyptic number.

1200768053760 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 1200768053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363638717440).

1200768053760 is an abundant number, since it is smaller than the sum of its proper divisors (3526509381120).

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

1200768053760 is an equidigital number, since it uses as much as digits as its factorization.

1200768053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1200768053760 in words is "one trillion, two hundred billion, seven hundred sixty-eight million, fifty-three thousand, seven hundred sixty".