8125561460880 has 480 divisors, whose sum is σ = 28830761856000. Its totient is φ = 2045202711552.

The previous prime is 8125561460879. The next prime is 8125561460893. The reversal of 8125561460880 is 880641655218.

8125561460880 is a `hidden beast` number, since 8 + 1 + 2 + 556 + 1 + 4 + 6 + 0 + 8 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7235583999 + ... + 7235585121.

It is an arithmetic number, because the mean of its divisors is an integer number (60064087200).

Almost surely, 2^{8125561460880} is an apocalyptic number.

8125561460880 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 8125561460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14415380928000).

8125561460880 is an abundant number, since it is smaller than the sum of its proper divisors (20705200395120).

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

8125561460880 is a wasteful number, since it uses less digits than its factorization.

8125561460880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 8125561460880 in words is "eight trillion, one hundred twenty-five billion, five hundred sixty-one million, four hundred sixty thousand, eight hundred eighty".