5279305416 has 128 divisors (see below), whose sum is σ = 16525209600. Its totient is φ = 1365396480.

The previous prime is 5279305403. The next prime is 5279305417. The reversal of 5279305416 is 6145039725.

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

It is not an unprimeable number, because it can be changed into a prime (5279305417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435696 + ... + 447648.

It is an arithmetic number, because the mean of its divisors is an integer number (129103200).

Almost surely, 2^5279305416 is an apocalyptic number.

5279305416 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 5279305416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262604800).

5279305416 is an abundant number, since it is smaller than the sum of its proper divisors (11245904184).

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

5279305416 is a wasteful number, since it uses less digits than its factorization.

5279305416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12219 (or 12215 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5279305416 is about 72658.8288922964. The cubic root of 5279305416 is about 1741.2411781122.

The spelling of 5279305416 in words is "five billion, two hundred seventy-nine million, three hundred five thousand, four hundred sixteen".