5386585201920 has 432 divisors, whose sum is σ = 20217218937552. Its totient is φ = 1316245340160.

The previous prime is 5386585201873. The next prime is 5386585201973. The reversal of 5386585201920 is 291025856835.

It is a happy number.

5386585201920 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 585 + 20 + 19 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 627416073216 + 4759169128704 = 792096^2 + 2181552^2 .

It is a congruent number.

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, 20385850 + ... + 20648390.

It is an arithmetic number, because the mean of its divisors is an integer number (46799117911).

Almost surely, 2^{5386585201920} 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 5386585201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108609468776).

5386585201920 is an abundant number, since it is smaller than the sum of its proper divisors (14830633735632).

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

5386585201920 is a wasteful number, since it uses less digits than its factorization.

5386585201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262718 (or 262701 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 5386585201920 in words is "five trillion, three hundred eighty-six billion, five hundred eighty-five million, two hundred one thousand, nine hundred twenty".