5819240394000 has 400 divisors, whose sum is σ = 22930400503296. Its totient is φ = 1410724512000.

The previous prime is 5819240393983. The next prime is 5819240394043. The reversal of 5819240394000 is 4930429185.

5819240394000 is a `hidden beast` number, since 5 + 8 + 19 + 240 + 394 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×5819240394000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 149217 + ... + 3414783.

Almost surely, 2^{5819240394000} is an apocalyptic number.

5819240394000 is a gapful number since it is divisible by the number (50) 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 5819240394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465200251648).

5819240394000 is an abundant number, since it is smaller than the sum of its proper divisors (17111160109296).

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

5819240394000 is a wasteful number, since it uses less digits than its factorization.

5819240394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265613 (or 3265588 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 5819240394000 in words is "five trillion, eight hundred nineteen billion, two hundred forty million, three hundred ninety-four thousand".