5259662640 has 320 divisors, whose sum is σ = 19297336320. Its totient is φ = 1312174080.

The previous prime is 5259662549. The next prime is 5259662663. The reversal of 5259662640 is 462669525.

It is a happy number.

5259662640 is a `hidden beast` number, since 52 + 596 + 6 + 2 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×5259662640² = 55328102173223539200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8335125 + ... + 8335755.

It is an arithmetic number, because the mean of its divisors is an integer number (60304176).

Almost surely, 2^5259662640 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 5259662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9648668160).

5259662640 is an abundant number, since it is smaller than the sum of its proper divisors (14037673680).

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

5259662640 is a wasteful number, since it uses less digits than its factorization.

5259662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5259662640 is about 72523.5316293960. The cubic root of 5259662640 is about 1739.0789417805.

The spelling of 5259662640 in words is "five billion, two hundred fifty-nine million, six hundred sixty-two thousand, six hundred forty".