5423135477760 has 5616 divisors, whose sum is σ = 28789970564160. Its totient is φ = 927486443520.

The previous prime is 5423135477731. The next prime is 5423135477807. The reversal of 5423135477760 is 677745313245.

5423135477760 is a `hidden beast` number, since 5 + 4 + 2 + 31 + 3 + 547 + 7 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5423135477697 and 5423135477706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 285428183031 + ... + 285428183049.

It is an arithmetic number, because the mean of its divisors is an integer number (5126419260).

Almost surely, 2^{5423135477760} 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 5423135477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394985282080).

5423135477760 is an abundant number, since it is smaller than the sum of its proper divisors (23366835086400).

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

5423135477760 is a wasteful number, since it uses less digits than its factorization.

5423135477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 5423135477760 in words is "five trillion, four hundred twenty-three billion, one hundred thirty-five million, four hundred seventy-seven thousand, seven hundred sixty".