85441812480 has 288 divisors, whose sum is σ = 299034197280. Its totient is φ = 22560768000.

The previous prime is 85441812437. The next prime is 85441812487. The reversal of 85441812480 is 8421814458.

85441812480 is a `hidden beast` number, since 8 + 5 + 441 + 8 + 124 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85441812487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9487980 + ... + 9496980.

It is an arithmetic number, because the mean of its divisors is an integer number (1038313185).

Almost surely, 2^85441812480 is an apocalyptic number.

85441812480 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 85441812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149517098640).

85441812480 is an abundant number, since it is smaller than the sum of its proper divisors (213592384800).

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

85441812480 is a wasteful number, since it uses less digits than its factorization.

85441812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 85441812480 in words is "eighty-five billion, four hundred forty-one million, eight hundred twelve thousand, four hundred eighty".