85543032400 has 120 divisors (see below), whose sum is σ = 235059062400. Its totient is φ = 29306273280.

The previous prime is 85543032389. The next prime is 85543032401. The reversal of 85543032400 is 423034558.

It is a super-2 number, since 2×85543032400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85543032401) 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 23 ways as a sum of consecutive naturals, for example, 3816426 + ... + 3838774.

It is an arithmetic number, because the mean of its divisors is an integer number (1958825520).

Almost surely, 2^85543032400 is an apocalyptic number.

85543032400 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 85543032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117529531200).

85543032400 is an abundant number, since it is smaller than the sum of its proper divisors (149516030000).

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

85543032400 is a wasteful number, since it uses less digits than its factorization.

85543032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23741 (or 23730 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 85543032400 its reverse (423034558), we get a palindrome (85966066958).

The spelling of 85543032400 in words is "eighty-five billion, five hundred forty-three million, thirty-two thousand, four hundred".