85447353600 has 1296 divisors, whose sum is σ = 371984191488. Its totient is φ = 19000811520.

The previous prime is 85447353587. The next prime is 85447353611. The reversal of 85447353600 is 635374458.

85447353600 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 7 + 35 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 511660717 + ... + 511660883.

Almost surely, 2^85447353600 is an apocalyptic number.

85447353600 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 85447353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185992095744).

85447353600 is an abundant number, since it is smaller than the sum of its proper divisors (286536837888).

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

85447353600 is a wasteful number, since it uses less digits than its factorization.

85447353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 85447353600 in words is "eighty-five billion, four hundred forty-seven million, three hundred fifty-three thousand, six hundred".