5279769600 has 792 divisors, whose sum is σ = 21528675648. Its totient is φ = 1135411200.

The previous prime is 5279769589. The next prime is 5279769601. The reversal of 5279769600 is 69679725.

It is not an unprimeable number, because it can be changed into a prime (5279769601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86553570 + ... + 86553630.

Almost surely, 2^5279769600 is an apocalyptic number.

5279769600 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 5279769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764337824).

5279769600 is an abundant number, since it is smaller than the sum of its proper divisors (16248906048).

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

5279769600 is a wasteful number, since it uses less digits than its factorization.

5279769600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 5279769600 is about 72662.0230932225. The cubic root of 5279769600 is about 1741.2922096112.

The spelling of 5279769600 in words is "five billion, two hundred seventy-nine million, seven hundred sixty-nine thousand, six hundred".