85225759200 has 576 divisors, whose sum is σ = 319254566400. Its totient is φ = 21927628800.

The previous prime is 85225759181. The next prime is 85225759231. The reversal of 85225759200 is 295752258.

85225759200 is a `hidden beast` number, since 8 + 5 + 2 + 2 + 57 + 592 + 0 + 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, 82662685 + ... + 82663715.

It is an arithmetic number, because the mean of its divisors is an integer number (554261400).

Almost surely, 2^85225759200 is an apocalyptic number.

85225759200 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 85225759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159627283200).

85225759200 is an abundant number, since it is smaller than the sum of its proper divisors (234028807200).

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

85225759200 is a wasteful number, since it uses less digits than its factorization.

85225759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 85225759200 in words is "eighty-five billion, two hundred twenty-five million, seven hundred fifty-nine thousand, two hundred".