8534382693120 has 1728 divisors, whose sum is σ = 34224259829760. Its totient is φ = 1949250355200.

The previous prime is 8534382693073. The next prime is 8534382693149. The reversal of 8534382693120 is 213962834358.

8534382693120 is a `hidden beast` number, since 8 + 5 + 34 + 38 + 269 + 312 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27799292007 + ... + 27799292313.

It is an arithmetic number, because the mean of its divisors is an integer number (19805705920).

Almost surely, 2^{8534382693120} is an apocalyptic number.

8534382693120 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 8534382693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17112129914880).

8534382693120 is an abundant number, since it is smaller than the sum of its proper divisors (25689877136640).

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

8534382693120 is a wasteful number, since it uses less digits than its factorization.

8534382693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 8534382693120 in words is "eight trillion, five hundred thirty-four billion, three hundred eighty-two million, six hundred ninety-three thousand, one hundred twenty".