85531939200 has 768 divisors, whose sum is σ = 323465011200. Its totient is φ = 22063104000.

The previous prime is 85531939187. The next prime is 85531939223. The reversal of 85531939200 is 293913558.

85531939200 is a `hidden beast` number, since 8 + 5 + 531 + 93 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447811105 + ... + 447811295.

It is an arithmetic number, because the mean of its divisors is an integer number (421178400).

Almost surely, 2^85531939200 is an apocalyptic number.

85531939200 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 85531939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161732505600).

85531939200 is an abundant number, since it is smaller than the sum of its proper divisors (237933072000).

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

85531939200 is a wasteful number, since it uses less digits than its factorization.

85531939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 85531939200 in words is "eighty-five billion, five hundred thirty-one million, nine hundred thirty-nine thousand, two hundred".