7871931586560 has 768 divisors, whose sum is σ = 26004038860800. Its totient is φ = 2032443850752.

The previous prime is 7871931586543. The next prime is 7871931586579. The reversal of 7871931586560 is 656851391787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 7871931586491 and 7871931586500.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 45502494634 + ... + 45502494806.

It is an arithmetic number, because the mean of its divisors is an integer number (33859425600).

Almost surely, 2^{7871931586560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7871931586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002019430400).

7871931586560 is an abundant number, since it is smaller than the sum of its proper divisors (18132107274240).

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

7871931586560 is a wasteful number, since it uses less digits than its factorization.

7871931586560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 7871931586560 in words is "seven trillion, eight hundred seventy-one billion, nine hundred thirty-one million, five hundred eighty-six thousand, five hundred sixty".