10611181601080 has 96 divisors (see below), whose sum is σ = 24676472620800. Its totient is φ = 4106504666880.

The previous prime is 10611181601047. The next prime is 10611181601087. The reversal of 10611181601080 is 8010618111601.

10611181601080 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 2×10611181601080² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611181601087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159838774 + ... + 159905146.

It is an arithmetic number, because the mean of its divisors is an integer number (257046589800).

Almost surely, 2^{10611181601080} is an apocalyptic number.

10611181601080 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 10611181601080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12338236310400).

10611181601080 is an abundant number, since it is smaller than the sum of its proper divisors (14065291019720).

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

10611181601080 is a wasteful number, since it uses less digits than its factorization.

10611181601080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70605 (or 70570 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 34.

Adding to 10611181601080 its reverse (8010618111601), we get a palindrome (18621799712681).

The spelling of 10611181601080 in words is "ten trillion, six hundred eleven billion, one hundred eighty-one million, six hundred one thousand, eighty".