85384640000 has 400 divisors, whose sum is σ = 235623776256. Its totient is φ = 30643200000.

The previous prime is 85384639987. The next prime is 85384640023. The reversal of 85384640000 is 4648358.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 447039905 + ... + 447040095.

Almost surely, 2^85384640000 is an apocalyptic number.

85384640000 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 85384640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117811888128).

85384640000 is an abundant number, since it is smaller than the sum of its proper divisors (150239136256).

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

85384640000 is a wasteful number, since it uses less digits than its factorization.

85384640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 85384640000 in words is "eighty-five billion, three hundred eighty-four million, six hundred forty thousand".