5338617401106 has 96 divisors (see below), whose sum is σ = 12693737422080. Its totient is φ = 1608126796800.

The previous prime is 5338617401093. The next prime is 5338617401129. The reversal of 5338617401106 is 6011047168335.

5338617401106 is a `hidden beast` number, since 53 + 3 + 86 + 17 + 401 + 106 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271247586 + ... + 271267266.

It is an arithmetic number, because the mean of its divisors is an integer number (132226431480).

Almost surely, 2^{5338617401106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5338617401106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346868711040).

5338617401106 is an abundant number, since it is smaller than the sum of its proper divisors (7355120020974).

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

5338617401106 is a wasteful number, since it uses less digits than its factorization.

5338617401106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27792 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5338617401106 in words is "five trillion, three hundred thirty-eight billion, six hundred seventeen million, four hundred one thousand, one hundred six".