5611131342180 has 1536 divisors, whose sum is σ = 24029507174400. Its totient is φ = 1051950219264.

The previous prime is 5611131342151. The next prime is 5611131342191. The reversal of 5611131342180 is 812431311165.

5611131342180 is a `hidden beast` number, since 5 + 6 + 1 + 1 + 131 + 342 + 180 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7412326362 + ... + 7412327118.

It is an arithmetic number, because the mean of its divisors is an integer number (15644210400).

Almost surely, 2^{5611131342180} 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 5611131342180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014753587200).

5611131342180 is an abundant number, since it is smaller than the sum of its proper divisors (18418375832220).

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

5611131342180 is a wasteful number, since it uses less digits than its factorization.

5611131342180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 5611131342180 in words is "five trillion, six hundred eleven billion, one hundred thirty-one million, three hundred forty-two thousand, one hundred eighty".