11005500060060 has 192 divisors, whose sum is σ = 33713293146624. Its totient is φ = 2660352076800.

The previous prime is 11005500060047. The next prime is 11005500060091. The reversal of 11005500060060 is 6006000550011.

11005500060060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11005500060060² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11005500060060.

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, 361686567 + ... + 361716993.

It is an arithmetic number, because the mean of its divisors is an integer number (175590068472).

Almost surely, 2^{11005500060060} is an apocalyptic number.

11005500060060 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 11005500060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856646573312).

11005500060060 is an abundant number, since it is smaller than the sum of its proper divisors (22707793086564).

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

11005500060060 is a wasteful number, since it uses less digits than its factorization.

11005500060060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32004 (or 32002 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 11005500060060 in words is "eleven trillion, five billion, five hundred million, sixty thousand, sixty".