7086871734800 has 480 divisors, whose sum is σ = 21138360808320. Its totient is φ = 2244752179200.

The previous prime is 7086871734769. The next prime is 7086871734881. The reversal of 7086871734800 is 84371786807.

It is a self number, because there is not a number n which added to its sum of digits gives 7086871734800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 279294914 + ... + 279320286.

It is an arithmetic number, because the mean of its divisors is an integer number (44038251684).

Almost surely, 2^{7086871734800} 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 7086871734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569180404160).

7086871734800 is an abundant number, since it is smaller than the sum of its proper divisors (14051489073520).

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

7086871734800 is a wasteful number, since it uses less digits than its factorization.

7086871734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25691 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 59.

The spelling of 7086871734800 in words is "seven trillion, eighty-six billion, eight hundred seventy-one million, seven hundred thirty-four thousand, eight hundred".