5284579107456 has 320 divisors, whose sum is σ = 17167430728800. Its totient is φ = 1600370472960.

The previous prime is 5284579107449. The next prime is 5284579107461. The reversal of 5284579107456 is 6547019754825.

It is a happy number.

5284579107456 is a `hidden beast` number, since 5 + 2 + 8 + 4 + 5 + 79 + 107 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5284579107393 and 5284579107402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 190332231 + ... + 190359993.

Almost surely, 2^{5284579107456} 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 5284579107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583715364400).

5284579107456 is an abundant number, since it is smaller than the sum of its proper divisors (11882851621344).

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

5284579107456 is a wasteful number, since it uses less digits than its factorization.

5284579107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29469 (or 29448 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 5284579107456 in words is "five trillion, two hundred eighty-four billion, five hundred seventy-nine million, one hundred seven thousand, four hundred fifty-six".