8391875506560 has 4608 divisors, whose sum is σ = 41437922198400. Its totient is φ = 1541054398464.

The previous prime is 8391875506559. The next prime is 8391875506591. The reversal of 8391875506560 is 656055781938.

8391875506560 is a `hidden beast` number, since 8 + 3 + 9 + 1 + 8 + 75 + 506 + 56 + 0 = 666.

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

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 86514180432 + ... + 86514180528.

Almost surely, 2^{8391875506560} is an apocalyptic number.

8391875506560 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 8391875506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20718961099200).

8391875506560 is an abundant number, since it is smaller than the sum of its proper divisors (33046046691840).

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

8391875506560 is a wasteful number, since it uses less digits than its factorization.

8391875506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

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

The spelling of 8391875506560 in words is "eight trillion, three hundred ninety-one billion, eight hundred seventy-five million, five hundred six thousand, five hundred sixty".