7085584056 has 128 divisors (see below), whose sum is σ = 18802368000. Its totient is φ = 2220607488.

The previous prime is 7085584031. The next prime is 7085584057. The reversal of 7085584056 is 6504855807.

It is a super-2 number, since 2×7085584056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7085583996 and 7085584014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7085584057) 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, 11446515 + ... + 11447133.

It is an arithmetic number, because the mean of its divisors is an integer number (146893500).

Almost surely, 2^7085584056 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 7085584056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184000).

7085584056 is an abundant number, since it is smaller than the sum of its proper divisors (11716783944).

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

7085584056 is a wasteful number, since it uses less digits than its factorization.

7085584056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 7085584056 is about 84175.9113761176. The cubic root of 7085584056 is about 1920.6956441948.

The spelling of 7085584056 in words is "seven billion, eighty-five million, five hundred eighty-four thousand, fifty-six".