5390504743680 has 720 divisors, whose sum is σ = 22803886163520. Its totient is φ = 1189623988224.

The previous prime is 5390504743667. The next prime is 5390504743693. The reversal of 5390504743680 is 863474050935.

5390504743680 is a `hidden beast` number, since 5 + 3 + 9 + 0 + 504 + 74 + 3 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5390504743667) and next prime (5390504743693).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20918982 + ... + 21175098.

It is an arithmetic number, because the mean of its divisors is an integer number (31672064116).

Almost surely, 2^{5390504743680} 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 5390504743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401943081760).

5390504743680 is an abundant number, since it is smaller than the sum of its proper divisors (17413381419840).

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

5390504743680 is a wasteful number, since it uses less digits than its factorization.

5390504743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256186 (or 256163 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5390504743680 in words is "five trillion, three hundred ninety billion, five hundred four million, seven hundred forty-three thousand, six hundred eighty".