8827097489280 has 3072 divisors, whose sum is σ = 39607684300800. Its totient is φ = 1847643291648.

The previous prime is 8827097489213. The next prime is 8827097489333. The reversal of 8827097489280 is 829847907288.

8827097489280 is a `hidden beast` number, since 8 + 8 + 270 + 9 + 74 + 8 + 9 + 280 = 666.

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 = 8827097489199 and 8827097489208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 69504704577 + ... + 69504704703.

It is an arithmetic number, because the mean of its divisors is an integer number (12893126400).

Almost surely, 2^{8827097489280} is an apocalyptic number.

8827097489280 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 8827097489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803842150400).

8827097489280 is an abundant number, since it is smaller than the sum of its proper divisors (30780586811520).

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

8827097489280 is a wasteful number, since it uses less digits than its factorization.

8827097489280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 8827097489280 in words is "eight trillion, eight hundred twenty-seven billion, ninety-seven million, four hundred eighty-nine thousand, two hundred eighty".