5019529616640 has 3456 divisors, whose sum is σ = 23754210278400. Its totient is φ = 993257717760.

The previous prime is 5019529616639. The next prime is 5019529616653. The reversal of 5019529616640 is 466169259105.

5019529616640 is a `hidden beast` number, since 5 + 0 + 19 + 5 + 2 + 9 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-4 number, since 4×5019529616640⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68760679644 + ... + 68760679716.

Almost surely, 2^{5019529616640} 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 5019529616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11877105139200).

5019529616640 is an abundant number, since it is smaller than the sum of its proper divisors (18734680661760).

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

5019529616640 is an equidigital number, since it uses as much as digits as its factorization.

5019529616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 5019529616640 in words is "five trillion, nineteen billion, five hundred twenty-nine million, six hundred sixteen thousand, six hundred forty".