11103165855600 has 960 divisors, whose sum is σ = 44223836160000. Its totient is φ = 2318716108800.

The previous prime is 11103165855583. The next prime is 11103165855601. The reversal of 11103165855600 is 655856130111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103165855601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8889643776 + ... + 8889645024.

It is an arithmetic number, because the mean of its divisors is an integer number (46066496000).

Almost surely, 2^{11103165855600} is an apocalyptic number.

11103165855600 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 11103165855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22111918080000).

11103165855600 is an abundant number, since it is smaller than the sum of its proper divisors (33120670304400).

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

11103165855600 is a wasteful number, since it uses less digits than its factorization.

11103165855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 11103165855600 in words is "eleven trillion, one hundred three billion, one hundred sixty-five million, eight hundred fifty-five thousand, six hundred".