11020635613120 has 168 divisors, whose sum is σ = 30655182093120. Its totient is φ = 3762692720640.

The previous prime is 11020635613111. The next prime is 11020635613123. The reversal of 11020635613120 is 2131653602011.

It is a super-3 number, since 3×11020635613120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020635613123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2277130 + ... + 5217910.

Almost surely, 2^{11020635613120} is an apocalyptic number.

11020635613120 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 11020635613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327591046560).

11020635613120 is an abundant number, since it is smaller than the sum of its proper divisors (19634546480000).

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

11020635613120 is a wasteful number, since it uses less digits than its factorization.

11020635613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941051 (or 2941034 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 11020635613120 in words is "eleven trillion, twenty billion, six hundred thirty-five million, six hundred thirteen thousand, one hundred twenty".