85232400640 has 144 divisors (see below), whose sum is σ = 212690136960. Its totient is φ = 32696483840.

The previous prime is 85232400559. The next prime is 85232400641. The reversal of 85232400640 is 4600423258.

It is a junction number, because it is equal to n+sod(n) for n = 85232400596 and 85232400605.

It is not an unprimeable number, because it can be changed into a prime (85232400641) 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, 3082557 + ... + 3110083.

It is an arithmetic number, because the mean of its divisors is an integer number (1477014840).

Almost surely, 2^85232400640 is an apocalyptic number.

85232400640 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 85232400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106345068480).

85232400640 is an abundant number, since it is smaller than the sum of its proper divisors (127457736320).

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

85232400640 is a wasteful number, since it uses less digits than its factorization.

85232400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27648 (or 27634 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 85232400640 its reverse (4600423258), we get a palindrome (89832823898).

The spelling of 85232400640 in words is "eighty-five billion, two hundred thirty-two million, four hundred thousand, six hundred forty".