5386619508480 has 1728 divisors, whose sum is σ = 23693365140480. Its totient is φ = 1134220050432.

The previous prime is 5386619508419. The next prime is 5386619508481. The reversal of 5386619508480 is 848059166835.

5386619508480 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 61 + 95 + 0 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5386619508481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3231324607 + ... + 3231326273.

It is an arithmetic number, because the mean of its divisors is an integer number (13711438160).

Almost surely, 2^{5386619508480} 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 5386619508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846682570240).

5386619508480 is an abundant number, since it is smaller than the sum of its proper divisors (18306745632000).

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

5386619508480 is a wasteful number, since it uses less digits than its factorization.

5386619508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 5386619508480 in words is "five trillion, three hundred eighty-six billion, six hundred nineteen million, five hundred eight thousand, four hundred eighty".