85053889600 has 189 divisors, whose sum is σ = 219473068927. Its totient is φ = 32439700480.

The previous prime is 85053889511. The next prime is 85053889727. The reversal of 85053889600 is 698835058.

It is a happy number.

The square root of 85053889600 is 291640.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34331642944 + 50722246656 = 185288^2 + 225216^2 .

It is a super-3 number, since 3×85053889600³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 268308642 + ... + 268308958.

Almost surely, 2^85053889600 is an apocalyptic number.

85053889600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85053889600 is the 291640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85053889600

85053889600 is an abundant number, since it is smaller than the sum of its proper divisors (134419179327).

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

85053889600 is an equidigital number, since it uses as much as digits as its factorization.

85053889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 85053889600 in words is "eighty-five billion, fifty-three million, eight hundred eighty-nine thousand, six hundred".