11166121517510 has 8 divisors (see below), whose sum is σ = 20099018731536. Its totient is φ = 4466448607000.

The previous prime is 11166121517501. The next prime is 11166121517519. The reversal of 11166121517510 is 1571512166111.

It is an interprime number because it is at equal distance from previous prime (11166121517501) and next prime (11166121517519).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-5 number, since 5×11166121517510⁵ (a number of 66 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166121517519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 558306075866 + ... + 558306075885.

It is an arithmetic number, because the mean of its divisors is an integer number (2512377341442).

Almost surely, 2^{11166121517510} is an apocalyptic number.

11166121517510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11166121517510 is a deficient number, since it is larger than the sum of its proper divisors (8932897214026).

11166121517510 is a wasteful number, since it uses less digits than its factorization.

11166121517510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116612151758.

The product of its (nonzero) digits is 12600, while the sum is 38.

The spelling of 11166121517510 in words is "eleven trillion, one hundred sixty-six billion, one hundred twenty-one million, five hundred seventeen thousand, five hundred ten".