11155116566580 has 192 divisors, whose sum is σ = 35836286976000. Its totient is φ = 2539750943232.

The previous prime is 11155116566533. The next prime is 11155116566611. The reversal of 11155116566580 is 8566561155111.

It is a super-2 number, since 2×11155116566580² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1098047541 + ... + 1098057699.

It is an arithmetic number, because the mean of its divisors is an integer number (186647328000).

Almost surely, 2^{11155116566580} is an apocalyptic number.

11155116566580 is a gapful number since it is divisible by the number (10) 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 11155116566580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918143488000).

11155116566580 is an abundant number, since it is smaller than the sum of its proper divisors (24681170409420).

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

11155116566580 is a wasteful number, since it uses less digits than its factorization.

11155116566580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20166 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 51.

The spelling of 11155116566580 in words is "eleven trillion, one hundred fifty-five billion, one hundred sixteen million, five hundred sixty-six thousand, five hundred eighty".