11001155656160 has 96 divisors (see below), whose sum is σ = 26930312468640. Its totient is φ = 4241790056448.

The previous prime is 11001155656147. The next prime is 11001155656199. The reversal of 11001155656160 is 6165655110011.

It is a happy number.

It is a super-2 number, since 2×11001155656160² (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 15 ways as a sum of consecutive naturals, for example, 910439 + ... + 4778201.

It is an arithmetic number, because the mean of its divisors is an integer number (280524088215).

Almost surely, 2^{11001155656160} is an apocalyptic number.

11001155656160 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 11001155656160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465156234320).

11001155656160 is an abundant number, since it is smaller than the sum of its proper divisors (15929156812480).

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

11001155656160 is a wasteful number, since it uses less digits than its factorization.

11001155656160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868420 (or 3868412 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 11001155656160 in words is "eleven trillion, one billion, one hundred fifty-five million, six hundred fifty-six thousand, one hundred sixty".