5259307680 has 288 divisors, whose sum is σ = 20731733568. Its totient is φ = 1199923200.

The previous prime is 5259307637. The next prime is 5259307681. The reversal of 5259307680 is 867039525.

It is a happy number.

5259307680 is a `hidden beast` number, since 52 + 593 + 0 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (5259307681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259515 + ... + 279045.

It is an arithmetic number, because the mean of its divisors is an integer number (71985186).

Almost surely, 2^5259307680 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 5259307680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10365866784).

5259307680 is an abundant number, since it is smaller than the sum of its proper divisors (15472425888).

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

5259307680 is a wasteful number, since it uses less digits than its factorization.

5259307680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19580 (or 19569 counting only the distinct ones).

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

The square root of 5259307680 is about 72521.0843824056. The cubic root of 5259307680 is about 1739.0398190337.

The spelling of 5259307680 in words is "five billion, two hundred fifty-nine million, three hundred seven thousand, six hundred eighty".