8827445007360 has 1760 divisors, whose sum is σ = 38129943379968. Its totient is φ = 1910153871360.

The previous prime is 8827445007349. The next prime is 8827445007377. The reversal of 8827445007360 is 637005447288.

8827445007360 is a `hidden beast` number, since 8 + 8 + 2 + 7 + 4 + 4 + 500 + 73 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8827445007297 and 8827445007306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4229728237 + ... + 4229730323.

Almost surely, 2^{8827445007360} is an apocalyptic number.

8827445007360 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 8827445007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19064971689984).

8827445007360 is an abundant number, since it is smaller than the sum of its proper divisors (29302498372608).

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

8827445007360 is a wasteful number, since it uses less digits than its factorization.

8827445007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 8827445007360 in words is "eight trillion, eight hundred twenty-seven billion, four hundred forty-five million, seven thousand, three hundred sixty".