85425569280 has 240 divisors, whose sum is σ = 299604127680. Its totient is φ = 22491316224.

The previous prime is 85425569249. The next prime is 85425569351. The reversal of 85425569280 is 8296552458.

85425569280 is a `hidden beast` number, since 8 + 5 + 4 + 2 + 556 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 1796694 + ... + 1843626.

It is an arithmetic number, because the mean of its divisors is an integer number (1248350532).

Almost surely, 2^85425569280 is an apocalyptic number.

85425569280 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 85425569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149802063840).

85425569280 is an abundant number, since it is smaller than the sum of its proper divisors (214178558400).

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

85425569280 is a wasteful number, since it uses less digits than its factorization.

85425569280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47041 (or 47022 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 85425569280 in words is "eighty-five billion, four hundred twenty-five million, five hundred sixty-nine thousand, two hundred eighty".