8260133899968 has 336 divisors, whose sum is σ = 25941674304000. Its totient is φ = 2598741439488.

The previous prime is 8260133899961. The next prime is 8260133900009. The reversal of 8260133899968 is 8699983310628.

8260133899968 is a `hidden beast` number, since 8 + 2 + 601 + 3 + 3 + 8 + 9 + 9 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×8260133899968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8260133899896 and 8260133899905.

It is not an unprimeable number, because it can be changed into a prime (8260133899961) 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, 79434313 + ... + 79538231.

It is an arithmetic number, because the mean of its divisors is an integer number (77207364000).

Almost surely, 2^{8260133899968} 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 8260133899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970837152000).

8260133899968 is an abundant number, since it is smaller than the sum of its proper divisors (17681540404032).

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

8260133899968 is a wasteful number, since it uses less digits than its factorization.

8260133899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104234 (or 104212 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 8260133899968 in words is "eight trillion, two hundred sixty billion, one hundred thirty-three million, eight hundred ninety-nine thousand, nine hundred sixty-eight".