7085088000 has 432 divisors, whose sum is σ = 25920135696. Its totient is φ = 1857945600.

The previous prime is 7085087959. The next prime is 7085088013. The reversal of 7085088000 is 8805807.

7085088000 is a `hidden beast` number, since 70 + 8 + 508 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2879824896 + 4205263104 = 53664^2 + 64848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21023832 + ... + 21024168.

Almost surely, 2^7085088000 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 7085088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960067848).

7085088000 is an abundant number, since it is smaller than the sum of its proper divisors (18835047696).

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

7085088000 is a wasteful number, since it uses less digits than its factorization.

7085088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 7085088000 is about 84172.9647808606. The cubic root of 7085088000 is about 1920.6508210334.

The spelling of 7085088000 in words is "seven billion, eighty-five million, eighty-eight thousand".