85743995400 has 288 divisors, whose sum is σ = 343403199360. Its totient is φ = 18746449920.

The previous prime is 85743995387. The next prime is 85743995411. The reversal of 85743995400 is 459934758.

85743995400 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 3 + 99 + 540 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141864 + ... + 437736.

It is an arithmetic number, because the mean of its divisors is an integer number (1192372220).

Almost surely, 2^85743995400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85743995400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171701599680).

85743995400 is an abundant number, since it is smaller than the sum of its proper divisors (257659203960).

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

85743995400 is a wasteful number, since it uses less digits than its factorization.

85743995400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295925 (or 295913 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 85743995400 in words is "eighty-five billion, seven hundred forty-three million, nine hundred ninety-five thousand, four hundred".