7011125856 has 768 divisors, whose sum is σ = 27027302400. Its totient is φ = 1719926784.

The previous prime is 7011125851. The next prime is 7011125897. The reversal of 7011125856 is 6585211107.

7011125856 is a `hidden beast` number, since 70 + 1 + 1 + 1 + 2 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7011125856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7011125851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72279600 + ... + 72279696.

It is an arithmetic number, because the mean of its divisors is an integer number (35191800).

Almost surely, 2^7011125856 is an apocalyptic number.

7011125856 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 7011125856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513651200).

7011125856 is an abundant number, since it is smaller than the sum of its proper divisors (20016176544).

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

7011125856 is a wasteful number, since it uses less digits than its factorization.

7011125856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 7011125856 is about 83732.4659615373. The cubic root of 7011125856 is about 1913.9441223455.

The spelling of 7011125856 in words is "seven billion, eleven million, one hundred twenty-five thousand, eight hundred fifty-six".