8260130418540 has 768 divisors, whose sum is σ = 32905110712320. Its totient is φ = 1490031083520.

The previous prime is 8260130418539. The next prime is 8260130418559. The reversal of 8260130418540 is 458140310628.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 8260130418492 and 8260130418501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1953209146 + ... + 1953213374.

It is an arithmetic number, because the mean of its divisors is an integer number (42845196240).

Almost surely, 2^{8260130418540} 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 8260130418540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452555356160).

8260130418540 is an abundant number, since it is smaller than the sum of its proper divisors (24644980293780).

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

8260130418540 is a wasteful number, since it uses less digits than its factorization.

8260130418540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 8260130418540 in words is "eight trillion, two hundred sixty billion, one hundred thirty million, four hundred eighteen thousand, five hundred forty".