5535842672360 has 256 divisors, whose sum is σ = 16726951180800. Its totient is φ = 1592416972800.

The previous prime is 5535842672329. The next prime is 5535842672431. The reversal of 5535842672360 is 632762485355.

It is a happy number.

It is a super-3 number, since 3×5535842672360³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 5535842672296 and 5535842672305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271501046 + ... + 271521434.

It is an arithmetic number, because the mean of its divisors is an integer number (65339653050).

Almost surely, 2^{5535842672360} 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 5535842672360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363475590400).

5535842672360 is an abundant number, since it is smaller than the sum of its proper divisors (11191108508440).

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

5535842672360 is a wasteful number, since it uses less digits than its factorization.

5535842672360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27212 (or 27208 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 5535842672360 in words is "five trillion, five hundred thirty-five billion, eight hundred forty-two million, six hundred seventy-two thousand, three hundred sixty".