5279506176 has 216 divisors, whose sum is σ = 16441608960. Its totient is φ = 1499559936.

The previous prime is 5279506171. The next prime is 5279506189. The reversal of 5279506176 is 6716059725.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279506171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8993755 + ... + 8994341.

It is an arithmetic number, because the mean of its divisors is an integer number (76118560).

Almost surely, 2^5279506176 is an apocalyptic number.

5279506176 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 5279506176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220804480).

5279506176 is an abundant number, since it is smaller than the sum of its proper divisors (11162102784).

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

5279506176 is a wasteful number, since it uses less digits than its factorization.

5279506176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 5279506176 is about 72660.2104043196. The cubic root of 5279506176 is about 1741.2632496488.

The spelling of 5279506176 in words is "five billion, two hundred seventy-nine million, five hundred six thousand, one hundred seventy-six".