5619820579296 has 864 divisors, whose sum is σ = 19742105908224. Its totient is φ = 1392936652800.

The previous prime is 5619820579277. The next prime is 5619820579313. The reversal of 5619820579296 is 6929750289165.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5619820579296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1288061211 + ... + 1288065573.

It is an arithmetic number, because the mean of its divisors is an integer number (22849659616).

Almost surely, 2^{5619820579296} is an apocalyptic number.

5619820579296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5619820579296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9871052954112).

5619820579296 is an abundant number, since it is smaller than the sum of its proper divisors (14122285328928).

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

5619820579296 is a wasteful number, since it uses less digits than its factorization.

5619820579296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 69.

The spelling of 5619820579296 in words is "five trillion, six hundred nineteen billion, eight hundred twenty million, five hundred seventy-nine thousand, two hundred ninety-six".