1177140760768 has 84 divisors (see below), whose sum is σ = 2719827003312. Its totient is φ = 504011988480.

The previous prime is 1177140760759. The next prime is 1177140760811. The reversal of 1177140760768 is 8670670417711.

It is a super-2 number, since 2×1177140760768² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3150405 + ... + 3504187.

Almost surely, 2^{1177140760768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1177140760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359913501656).

1177140760768 is an abundant number, since it is smaller than the sum of its proper divisors (1542686242544).

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

1177140760768 is a wasteful number, since it uses less digits than its factorization.

1177140760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354870 (or 354853 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 55.

The spelling of 1177140760768 in words is "one trillion, one hundred seventy-seven billion, one hundred forty million, seven hundred sixty thousand, seven hundred sixty-eight".