10611056111000 has 32 divisors (see below), whose sum is σ = 24829871302080. Its totient is φ = 4244422444000.

The previous prime is 10611056110943. The next prime is 10611056111009. The reversal of 10611056111000 is 11165011601.

It is a happy number.

10611056111000 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 2×10611056111000² (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 (10611056111009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5305527056 + ... + 5305529055.

It is an arithmetic number, because the mean of its divisors is an integer number (775933478190).

Almost surely, 2^{10611056111000} is an apocalyptic number.

10611056111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10611056111000 is an abundant number, since it is smaller than the sum of its proper divisors (14218815191080).

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

10611056111000 is a wasteful number, since it uses less digits than its factorization.

10611056111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10611056132 (or 10611056118 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 23.

The spelling of 10611056111000 in words is "ten trillion, six hundred eleven billion, fifty-six million, one hundred eleven thousand".