5279217216 has 224 divisors, whose sum is σ = 17518733568. Its totient is φ = 1365811200.

The previous prime is 5279217191. The next prime is 5279217287. The reversal of 5279217216 is 6127129725.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923166 + ... + 928866.

It is an arithmetic number, because the mean of its divisors is an integer number (78208632).

Almost surely, 2^5279217216 is an apocalyptic number.

5279217216 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 5279217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759366784).

5279217216 is an abundant number, since it is smaller than the sum of its proper divisors (12239516352).

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

5279217216 is a wasteful number, since it uses less digits than its factorization.

5279217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5779 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 5279217216 is about 72658.2219435626. The cubic root of 5279217216 is about 1741.2314812351.

The spelling of 5279217216 in words is "five billion, two hundred seventy-nine million, two hundred seventeen thousand, two hundred sixteen".