5205879360 has 336 divisors, whose sum is σ = 19739408832. Its totient is φ = 1248768000.

The previous prime is 5205879359. The next prime is 5205879389. The reversal of 5205879360 is 639785025.

It is a happy number.

5205879360 is a `hidden beast` number, since 5 + 2 + 0 + 587 + 9 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3198867 + ... + 3200493.

Almost surely, 2^5205879360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9869704416).

5205879360 is an abundant number, since it is smaller than the sum of its proper divisors (14533529472).

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

5205879360 is a wasteful number, since it uses less digits than its factorization.

5205879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5205879360 is about 72151.7800196225. The cubic root of 5205879360 is about 1733.1309046968.

The spelling of 5205879360 in words is "five billion, two hundred five million, eight hundred seventy-nine thousand, three hundred sixty".