7086165216 has 192 divisors, whose sum is σ = 22328006400. Its totient is φ = 1943986176.

The previous prime is 7086165211. The next prime is 7086165221. The reversal of 7086165216 is 6125616807.

It is an interprime number because it is at equal distance from previous prime (7086165211) and next prime (7086165221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7086165211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394315 + ... + 411893.

It is an arithmetic number, because the mean of its divisors is an integer number (116291700).

Almost surely, 2^7086165216 is an apocalyptic number.

7086165216 is a gapful number since it is divisible by the number (76) 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 7086165216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164003200).

7086165216 is an abundant number, since it is smaller than the sum of its proper divisors (15241841184).

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

7086165216 is a wasteful number, since it uses less digits than its factorization.

7086165216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17633 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7086165216 is about 84179.3633618121. The cubic root of 7086165216 is about 1920.7481546139.

The spelling of 7086165216 in words is "seven billion, eighty-six million, one hundred sixty-five thousand, two hundred sixteen".