7085728512 has 216 divisors, whose sum is σ = 21481123664. Its totient is φ = 2243469312.

The previous prime is 7085728453. The next prime is 7085728547. The reversal of 7085728512 is 2158275807.

7085728512 is a `hidden beast` number, since 70 + 8 + 572 + 8 + 5 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3664698 + ... + 3666630.

Almost surely, 2^7085728512 is an apocalyptic number.

7085728512 is a gapful number since it is divisible by the number (72) 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 7085728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740561832).

7085728512 is an abundant number, since it is smaller than the sum of its proper divisors (14395395152).

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

7085728512 is a wasteful number, since it uses less digits than its factorization.

7085728512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 7085728512 is about 84176.7694319519. The cubic root of 7085728512 is about 1920.7086967121.

The spelling of 7085728512 in words is "seven billion, eighty-five million, seven hundred twenty-eight thousand, five hundred twelve".