8093558975040 has 5376 divisors, whose sum is σ = 41189608857600. Its totient is φ = 1471492915200.

The previous prime is 8093558975027. The next prime is 8093558975041. The reversal of 8093558975040 is 405798553908.

8093558975040 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 5 + 589 + 7 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8093558975041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 83438752272 + ... + 83438752368.

It is an arithmetic number, because the mean of its divisors is an integer number (7661757600).

Almost surely, 2^{8093558975040} is an apocalyptic number.

8093558975040 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 8093558975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594804428800).

8093558975040 is an abundant number, since it is smaller than the sum of its proper divisors (33096049882560).

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

8093558975040 is a wasteful number, since it uses less digits than its factorization.

8093558975040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 8093558975040 in words is "eight trillion, ninety-three billion, five hundred fifty-eight million, nine hundred seventy-five thousand, forty".