85261643280 has 720 divisors, whose sum is σ = 331874716992. Its totient is φ = 20323353600.

The previous prime is 85261643273. The next prime is 85261643281. The reversal of 85261643280 is 8234616258.

85261643280 is a `hidden beast` number, since 8 + 5 + 2 + 616 + 4 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85261643281) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157599810 + ... + 157600350.

Almost surely, 2^85261643280 is an apocalyptic number.

85261643280 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 85261643280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165937358496).

85261643280 is an abundant number, since it is smaller than the sum of its proper divisors (246613073712).

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

85261643280 is a wasteful number, since it uses less digits than its factorization.

85261643280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 85261643280 in words is "eighty-five billion, two hundred sixty-one million, six hundred forty-three thousand, two hundred eighty".