11768319351792 has 280 divisors, whose sum is σ = 35215743079440. Its totient is φ = 3805687618560.

The previous prime is 11768319351743. The next prime is 11768319351829. The reversal of 11768319351792 is 29715391386711.

11768319351792 is a `hidden beast` number, since 1 + 17 + 6 + 8 + 3 + 19 + 3 + 517 + 92 = 666.

It is a super-2 number, since 2×11768319351792² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 85533358 + ... + 85670834.

It is an arithmetic number, because the mean of its divisors is an integer number (125770510998).

Almost surely, 2^{11768319351792} is an apocalyptic number.

11768319351792 is a gapful number since it is divisible by the number (12) 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 11768319351792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607871539720).

11768319351792 is an abundant number, since it is smaller than the sum of its proper divisors (23447423727648).

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

11768319351792 is a wasteful number, since it uses less digits than its factorization.

11768319351792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137723 (or 137702 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 11768319351792 in words is "eleven trillion, seven hundred sixty-eight billion, three hundred nineteen million, three hundred fifty-one thousand, seven hundred ninety-two".