5258766240 has 900 divisors, whose sum is σ = 23444521254. Its totient is φ = 1109541888.

The previous prime is 5258766223. The next prime is 5258766257. The reversal of 5258766240 is 426678525.

5258766240 is a `hidden beast` number, since 5 + 2 + 587 + 6 + 62 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5258766223) and next prime (5258766257).

It can be written as a sum of positive squares in 3 ways, for example, as 2268426384 + 2990339856 = 47628^2 + 54684^2 .

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 149 ways as a sum of consecutive naturals, for example, 404520474 + ... + 404520486.

Almost surely, 2^5258766240 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 5258766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722260627).

5258766240 is an abundant number, since it is smaller than the sum of its proper divisors (18185755014).

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

5258766240 is an equidigital number, since it uses as much as digits as its factorization.

5258766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5258766240 is about 72517.3513029813. The cubic root of 5258766240 is about 1738.9801395670.

The spelling of 5258766240 in words is "five billion, two hundred fifty-eight million, seven hundred sixty-six thousand, two hundred forty".