8519481815040 has 2080 divisors, whose sum is σ = 37404053406720. Its totient is φ = 1810636996608.

The previous prime is 8519481815017. The next prime is 8519481815059. The reversal of 8519481815040 is 405181849158.

8519481815040 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 481 + 8 + 150 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20332891951 + ... + 20332892369.

It is an arithmetic number, because the mean of its divisors is an integer number (17982717984).

Almost surely, 2^{8519481815040} is an apocalyptic number.

8519481815040 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 8519481815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702026703360).

8519481815040 is an abundant number, since it is smaller than the sum of its proper divisors (28884571591680).

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

8519481815040 is a wasteful number, since it uses less digits than its factorization.

8519481815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 54.

The spelling of 8519481815040 in words is "eight trillion, five hundred nineteen billion, four hundred eighty-one million, eight hundred fifteen thousand, forty".