11166121517508 has 288 divisors, whose sum is σ = 30593768325120. Its totient is φ = 3558477847680.

The previous prime is 11166121517501. The next prime is 11166121517519. The reversal of 11166121517508 is 80571512166111.

11166121517508 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 6 + 121 + 5 + 17 + 508 = 666.

It is not an unprimeable number, because it can be changed into a prime (11166121517501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 353532685 + ... + 353564267.

It is an arithmetic number, because the mean of its divisors is an integer number (106228362240).

Almost surely, 2^{11166121517508} is an apocalyptic number.

11166121517508 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 11166121517508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296884162560).

11166121517508 is an abundant number, since it is smaller than the sum of its proper divisors (19427646807612).

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

11166121517508 is a wasteful number, since it uses less digits than its factorization.

11166121517508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31829 (or 31815 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 45.

The spelling of 11166121517508 in words is "eleven trillion, one hundred sixty-six billion, one hundred twenty-one million, five hundred seventeen thousand, five hundred eight".