7085116416 has 176 divisors, whose sum is σ = 22719407360. Its totient is φ = 1917665280.

The previous prime is 7085116393. The next prime is 7085116427. The reversal of 7085116416 is 6146115807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399906 + ... + 417246.

Almost surely, 2^7085116416 is an apocalyptic number.

7085116416 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 7085116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11359703680).

7085116416 is an abundant number, since it is smaller than the sum of its proper divisors (15634290944).

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

7085116416 is a wasteful number, since it uses less digits than its factorization.

7085116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17390 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 7085116416 is about 84173.1335759814. The cubic root of 7085116416 is about 1920.6533887334.

The spelling of 7085116416 in words is "seven billion, eighty-five million, one hundred sixteen thousand, four hundred sixteen".