85843255680 has 1280 divisors, whose sum is σ = 390141480960. Its totient is φ = 17497866240.

The previous prime is 85843255637. The next prime is 85843255721. The reversal of 85843255680 is 8655234858.

85843255680 is a `hidden beast` number, since 8 + 5 + 8 + 4 + 3 + 2 + 556 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146240347 + ... + 146240933.

It is an arithmetic number, because the mean of its divisors is an integer number (304798032).

Almost surely, 2^85843255680 is an apocalyptic number.

85843255680 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 85843255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195070740480).

85843255680 is an abundant number, since it is smaller than the sum of its proper divisors (304298225280).

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

85843255680 is a wasteful number, since it uses less digits than its factorization.

85843255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 85843255680 in words is "eighty-five billion, eight hundred forty-three million, two hundred fifty-five thousand, six hundred eighty".