85393886400 has 252 divisors, whose sum is σ = 309970151712. Its totient is φ = 22287022080.

The previous prime is 85393886377. The next prime is 85393886419. The reversal of 85393886400 is 468839358.

It is a happy number.

It is a super-3 number, since 3×85393886400³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 35 ways as a sum of consecutive naturals, for example, 613714 + ... + 739886.

Almost surely, 2^85393886400 is an apocalyptic number.

85393886400 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 85393886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154985075856).

85393886400 is an abundant number, since it is smaller than the sum of its proper divisors (224576265312).

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

85393886400 is a wasteful number, since it uses less digits than its factorization.

85393886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126248 (or 126230 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 85393886400 in words is "eighty-five billion, three hundred ninety-three million, eight hundred eighty-six thousand, four hundred".