11517177978852 has 384 divisors, whose sum is σ = 35225821209600. Its totient is φ = 2907469393920.

The previous prime is 11517177978829. The next prime is 11517177978857. The reversal of 11517177978852 is 25887977171511.

It is not an unprimeable number, because it can be changed into a prime (11517177978857) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116223358 + ... + 116322410.

It is an arithmetic number, because the mean of its divisors is an integer number (91733909400).

Almost surely, 2^{11517177978852} is an apocalyptic number.

11517177978852 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 11517177978852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17612910604800).

11517177978852 is an abundant number, since it is smaller than the sum of its proper divisors (23708643230748).

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

11517177978852 is a wasteful number, since it uses less digits than its factorization.

11517177978852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99188 (or 99172 counting only the distinct ones).

The product of its digits is 69148800, while the sum is 69.

The spelling of 11517177978852 in words is "eleven trillion, five hundred seventeen billion, one hundred seventy-seven million, nine hundred seventy-eight thousand, eight hundred fifty-two".