11102069109600 has 3456 divisors, whose sum is σ = 51534733565952. Its totient is φ = 2274125414400.

The previous prime is 11102069109589. The next prime is 11102069109601. The reversal of 11102069109600 is 690196020111.

11102069109600 is a `hidden beast` number, since 1 + 1 + 10 + 20 + 6 + 9 + 10 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102069109601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 81037000732 + ... + 81037000868.

It is an arithmetic number, because the mean of its divisors is an integer number (14911670592).

Almost surely, 2^{11102069109600} is an apocalyptic number.

11102069109600 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 11102069109600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767366782976).

11102069109600 is an abundant number, since it is smaller than the sum of its proper divisors (40432664456352).

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

11102069109600 is a wasteful number, since it uses less digits than its factorization.

11102069109600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 11102069109600 in words is "eleven trillion, one hundred two billion, sixty-nine million, one hundred nine thousand, six hundred".