85030560000 has 585 divisors, whose sum is σ = 318139780651. Its totient is φ = 22674816000.

The previous prime is 85030559927. The next prime is 85030560001. The reversal of 85030560000 is 6503058.

The square root of 85030560000 is 291600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

85030560000 is a `hidden beast` number, since 8 + 50 + 3 + 0 + 5 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6666395904 + 78364164096 = 81648^2 + 279936^2 .

It is a super-2 number, since 2×85030560000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85030560001) by changing a digit.

It is a polite number, since it can be written in 64 ways as a sum of consecutive naturals, for example, 17006111998 + ... + 17006112002.

Almost surely, 2^85030560000 is an apocalyptic number.

85030560000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85030560000 is the 291600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85030560000

85030560000 is an abundant number, since it is smaller than the sum of its proper divisors (233109220651).

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

85030560000 is an frugal number, since it uses more digits than its factorization.

85030560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 85030560000 by its product of nonzero digits (3600), we get a square (306110016000000 = 17496000²).

85030560000 divided by its product of nonzero digits (3600) gives a square (23619600 = 4860²).

The spelling of 85030560000 in words is "eighty-five billion, thirty million, five hundred sixty thousand".