85743403200 has 1344 divisors, whose sum is σ = 407643909120. Its totient is φ = 17013473280.

The previous prime is 85743403177. The next prime is 85743403201. The reversal of 85743403200 is 230434758.

It is a happy number.

85743403200 is a `hidden beast` number, since 8 + 5 + 7 + 43 + 403 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85743403201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66829759 + ... + 66831041.

It is an arithmetic number, because the mean of its divisors is an integer number (303306480).

Almost surely, 2^85743403200 is an apocalyptic number.

85743403200 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 85743403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203821954560).

85743403200 is an abundant number, since it is smaller than the sum of its proper divisors (321900505920).

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

85743403200 is a wasteful number, since it uses less digits than its factorization.

85743403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 85743403200 its reverse (230434758), we get a palindrome (85973837958).

The spelling of 85743403200 in words is "eighty-five billion, seven hundred forty-three million, four hundred three thousand, two hundred".