5279306704896 has 288 divisors, whose sum is σ = 16269202797120. Its totient is φ = 1491329089536.

The previous prime is 5279306704853. The next prime is 5279306704933. The reversal of 5279306704896 is 6984076039725.

It is a super-2 number, since 2×5279306704896² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340658620 + ... + 340674116.

It is an arithmetic number, because the mean of its divisors is an integer number (56490287490).

Almost surely, 2^{5279306704896} is an apocalyptic number.

5279306704896 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 5279306704896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134601398560).

5279306704896 is an abundant number, since it is smaller than the sum of its proper divisors (10989896092224).

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

5279306704896 is an equidigital number, since it uses as much as digits as its factorization.

5279306704896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15707 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 5279306704896 in words is "five trillion, two hundred seventy-nine billion, three hundred six million, seven hundred four thousand, eight hundred ninety-six".