5209435003392 has 240 divisors, whose sum is σ = 15525912230400. Its totient is φ = 1679798476800.

The previous prime is 5209435003373. The next prime is 5209435003459. The reversal of 5209435003392 is 2933005349025.

It is a happy number.

5209435003392 is a `hidden beast` number, since 5 + 20 + 9 + 4 + 3 + 500 + 33 + 92 = 666.

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 23 ways as a sum of consecutive naturals, for example, 467250234 + ... + 467261382.

It is an arithmetic number, because the mean of its divisors is an integer number (64691300960).

Almost surely, 2^{5209435003392} 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 5209435003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762956115200).

5209435003392 is an abundant number, since it is smaller than the sum of its proper divisors (10316477227008).

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

5209435003392 is a wasteful number, since it uses less digits than its factorization.

5209435003392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14456 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 5209435003392 in words is "five trillion, two hundred nine billion, four hundred thirty-five million, three thousand, three hundred ninety-two".