11768093698872 has 384 divisors, whose sum is σ = 37235349043200. Its totient is φ = 3077405872128.

The previous prime is 11768093698859. The next prime is 11768093698883. The reversal of 11768093698872 is 27889639086711.

It is a super-2 number, since 2×11768093698872² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11768093698794 and 11768093698803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2277546033 + ... + 2277551199.

It is an arithmetic number, because the mean of its divisors is an integer number (96967054800).

Almost surely, 2^{11768093698872} is an apocalyptic number.

11768093698872 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 11768093698872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617674521600).

11768093698872 is an abundant number, since it is smaller than the sum of its proper divisors (25467255344328).

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

11768093698872 is a wasteful number, since it uses less digits than its factorization.

11768093698872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8323 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 75.

The spelling of 11768093698872 in words is "eleven trillion, seven hundred sixty-eight billion, ninety-three million, six hundred ninety-eight thousand, eight hundred seventy-two".