11135316613360 has 160 divisors (see below), whose sum is σ = 27344521177920. Its totient is φ = 4205426688000.

The previous prime is 11135316613301. The next prime is 11135316613381. The reversal of 11135316613360 is 6331661353111.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739340230 + ... + 739355290.

It is an arithmetic number, because the mean of its divisors is an integer number (170903257362).

Almost surely, 2^{11135316613360} is an apocalyptic number.

11135316613360 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 11135316613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13672260588960).

11135316613360 is an abundant number, since it is smaller than the sum of its proper divisors (16209204564560).

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

11135316613360 is a wasteful number, since it uses less digits than its factorization.

11135316613360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16707 (or 16701 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

Adding to 11135316613360 its reverse (6331661353111), we get a palindrome (17466977966471).

The spelling of 11135316613360 in words is "eleven trillion, one hundred thirty-five billion, three hundred sixteen million, six hundred thirteen thousand, three hundred sixty".