5190615613440 has 720 divisors, whose sum is σ = 18755264586240. Its totient is φ = 1377109278720.

The previous prime is 5190615613433. The next prime is 5190615613441. The reversal of 5190615613440 is 443165160915.

5190615613440 is a `hidden beast` number, since 5 + 1 + 90 + 61 + 5 + 61 + 3 + 440 = 666.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (5190615613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4757667295 + ... + 4757668385.

It is an arithmetic number, because the mean of its divisors is an integer number (26048978592).

Almost surely, 2^{5190615613440} 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 5190615613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9377632293120).

5190615613440 is an abundant number, since it is smaller than the sum of its proper divisors (13564648972800).

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

5190615613440 is an equidigital number, since it uses as much as digits as its factorization.

5190615613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 5190615613440 in words is "five trillion, one hundred ninety billion, six hundred fifteen million, six hundred thirteen thousand, four hundred forty".