85670283600 has 360 divisors, whose sum is σ = 327685193472. Its totient is φ = 20553523200.

The previous prime is 85670283593. The next prime is 85670283631. The reversal of 85670283600 is 638207658.

85670283600 is a `hidden beast` number, since 8 + 567 + 0 + 2 + 83 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3830049 + ... + 3852351.

Almost surely, 2^85670283600 is an apocalyptic number.

85670283600 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 85670283600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163842596736).

85670283600 is an abundant number, since it is smaller than the sum of its proper divisors (242014909872).

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

85670283600 is a wasteful number, since it uses less digits than its factorization.

85670283600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22435 (or 22421 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 85670283600 in words is "eighty-five billion, six hundred seventy million, two hundred eighty-three thousand, six hundred".