8534815866720 has 1728 divisors, whose sum is σ = 37860689805120. Its totient is φ = 1797323489280.

The previous prime is 8534815866659. The next prime is 8534815866751. The reversal of 8534815866720 is 276685184358.

8534815866720 is a `hidden beast` number, since 8 + 5 + 3 + 48 + 1 + 586 + 6 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1039685976 + ... + 1039694184.

It is an arithmetic number, because the mean of its divisors is an integer number (21910121415).

Almost surely, 2^{8534815866720} is an apocalyptic number.

8534815866720 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 8534815866720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18930344902560).

8534815866720 is an abundant number, since it is smaller than the sum of its proper divisors (29325873938400).

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

8534815866720 is a wasteful number, since it uses less digits than its factorization.

8534815866720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 8534815866720 in words is "eight trillion, five hundred thirty-four billion, eight hundred fifteen million, eight hundred sixty-six thousand, seven hundred twenty".