85382035200 has 2592 divisors, whose sum is σ = 425124790272. Its totient is φ = 16422912000.

The previous prime is 85382035187. The next prime is 85382035243. The reversal of 85382035200 is 253028358.

85382035200 is a `hidden beast` number, since 8 + 53 + 82 + 0 + 3 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2754259185 + ... + 2754259215.

Almost surely, 2^85382035200 is an apocalyptic number.

85382035200 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 85382035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212562395136).

85382035200 is an abundant number, since it is smaller than the sum of its proper divisors (339742755072).

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

85382035200 is a wasteful number, since it uses less digits than its factorization.

85382035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 85382035200 in words is "eighty-five billion, three hundred eighty-two million, thirty-five thousand, two hundred".