85552804240 has 80 divisors (see below), whose sum is σ = 201339421488. Its totient is φ = 33805744128.

The previous prime is 85552804237. The next prime is 85552804241. The reversal of 85552804240 is 4240825558.

It can be written as a sum of positive squares in 8 ways, for example, as 12341432464 + 73211371776 = 111092^2 + 270576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (85552804241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2153194 + ... + 2192566.

Almost surely, 2^85552804240 is an apocalyptic number.

85552804240 is a gapful number since it is divisible by the number (80) 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 85552804240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100669710744).

85552804240 is an abundant number, since it is smaller than the sum of its proper divisors (115786617248).

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

85552804240 is a wasteful number, since it uses less digits than its factorization.

85552804240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716 (or 39710 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 43.

The spelling of 85552804240 in words is "eighty-five billion, five hundred fifty-two million, eight hundred four thousand, two hundred forty".