8815851086560 has 576 divisors, whose sum is σ = 25779212274816. Its totient is φ = 2789513625600.

The previous prime is 8815851086527. The next prime is 8815851086587. The reversal of 8815851086560 is 656801585188.

It is a super-2 number, since 2×8815851086560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10286873652 + ... + 10286874508.

It is an arithmetic number, because the mean of its divisors is an integer number (44755576866).

Almost surely, 2^{8815851086560} is an apocalyptic number.

8815851086560 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 8815851086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12889606137408).

8815851086560 is an abundant number, since it is smaller than the sum of its proper divisors (16963361188256).

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

8815851086560 is a wasteful number, since it uses less digits than its factorization.

8815851086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 61.

The spelling of 8815851086560 in words is "eight trillion, eight hundred fifteen billion, eight hundred fifty-one million, eighty-six thousand, five hundred sixty".