5259603888 has 640 divisors, whose sum is σ = 20364410880. Its totient is φ = 1257984000.

The previous prime is 5259603887. The next prime is 5259603901. The reversal of 5259603888 is 8883069525.

5259603888 is a `hidden beast` number, since 5 + 25 + 9 + 603 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5259603887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40149583 + ... + 40149713.

It is an arithmetic number, because the mean of its divisors is an integer number (31819392).

Almost surely, 2^5259603888 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 5259603888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10182205440).

5259603888 is an abundant number, since it is smaller than the sum of its proper divisors (15104806992).

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

5259603888 is a wasteful number, since it uses less digits than its factorization.

5259603888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 5259603888 is about 72523.1265735283. The cubic root of 5259603888 is about 1739.0724664129.

The spelling of 5259603888 in words is "five billion, two hundred fifty-nine million, six hundred three thousand, eight hundred eighty-eight".