8291161313280 has 832 divisors, whose sum is σ = 30308534784000. Its totient is φ = 2149048516608.

The previous prime is 8291161313257. The next prime is 8291161313321. The reversal of 8291161313280 is 823131611928.

8291161313280 is a `hidden beast` number, since 8 + 2 + 9 + 1 + 1 + 613 + 1 + 3 + 28 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5682769191 + ... + 5682770649.

Almost surely, 2^{8291161313280} is an apocalyptic number.

8291161313280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8291161313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15154267392000).

8291161313280 is an abundant number, since it is smaller than the sum of its proper divisors (22017373470720).

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

8291161313280 is a wasteful number, since it uses less digits than its factorization.

8291161313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 8291161313280 in words is "eight trillion, two hundred ninety-one billion, one hundred sixty-one million, three hundred thirteen thousand, two hundred eighty".