1205750976768 has 720 divisors, whose sum is σ = 3953939109120. Its totient is φ = 364731973632.

The previous prime is 1205750976761. The next prime is 1205750976797. The reversal of 1205750976768 is 8676790575021.

1205750976768 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 7 + 509 + 7 + 67 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205750976761) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5174896780 + ... + 5174897012.

It is an arithmetic number, because the mean of its divisors is an integer number (5491582096).

Almost surely, 2^{1205750976768} is an apocalyptic number.

1205750976768 is a gapful number since it is divisible by the number (18) 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 1205750976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976969554560).

1205750976768 is an abundant number, since it is smaller than the sum of its proper divisors (2748188132352).

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

1205750976768 is an frugal number, since it uses more digits than its factorization.

1205750976768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 1205750976768 in words is "one trillion, two hundred five billion, seven hundred fifty million, nine hundred seventy-six thousand, seven hundred sixty-eight".