5511117413136 has 80 divisors (see below), whose sum is σ = 14453293501440. Its totient is φ = 1809193518720.

The previous prime is 5511117413129. The next prime is 5511117413143. The reversal of 5511117413136 is 6313147111155.

It is an interprime number because it is at equal distance from previous prime (5511117413129) and next prime (5511117413143).

It is a junction number, because it is equal to n+sod(n) for n = 5511117413094 and 5511117413103.

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, 2252131 + ... + 4011773.

It is an arithmetic number, because the mean of its divisors is an integer number (180666168768).

Almost surely, 2^{5511117413136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5511117413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226646750720).

5511117413136 is an abundant number, since it is smaller than the sum of its proper divisors (8942176088304).

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

5511117413136 is a wasteful number, since it uses less digits than its factorization.

5511117413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760644 (or 1760638 counting only the distinct ones).

The product of its digits is 37800, while the sum is 39.

The spelling of 5511117413136 in words is "five trillion, five hundred eleven billion, one hundred seventeen million, four hundred thirteen thousand, one hundred thirty-six".