5279397434400 has 288 divisors, whose sum is σ = 17430948722880. Its totient is φ = 1387668602880.

The previous prime is 5279397434387. The next prime is 5279397434431. The reversal of 5279397434400 is 44347939725.

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 47 ways as a sum of consecutive naturals, for example, 301860856 + ... + 301878344.

It is an arithmetic number, because the mean of its divisors is an integer number (60524127510).

Almost surely, 2^{5279397434400} is an apocalyptic number.

5279397434400 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 5279397434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8715474361440).

5279397434400 is an abundant number, since it is smaller than the sum of its proper divisors (12151551288480).

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

5279397434400 is a wasteful number, since it uses less digits than its factorization.

5279397434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19308 (or 19295 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 57.

The spelling of 5279397434400 in words is "five trillion, two hundred seventy-nine billion, three hundred ninety-seven million, four hundred thirty-four thousand, four hundred".