85480240203072 has 1344 divisors, whose sum is σ = 320105544192000. Its totient is φ = 22098968985600.

The previous prime is 85480240203041. The next prime is 85480240203097. The reversal of 85480240203072 is 27030204208458.

85480240203072 is a `hidden beast` number, since 8 + 5 + 4 + 80 + 240 + 20 + 307 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2502405129 + ... + 2502439287.

It is an arithmetic number, because the mean of its divisors is an integer number (238173768000).

Almost surely, 2^{85480240203072} is an apocalyptic number.

85480240203072 is a gapful number since it is divisible by the number (82) 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 85480240203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160052772096000).

85480240203072 is an abundant number, since it is smaller than the sum of its proper divisors (234625303988928).

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

85480240203072 is a wasteful number, since it uses less digits than its factorization.

85480240203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34277 (or 34248 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 85480240203072 in words is "eighty-five trillion, four hundred eighty billion, two hundred forty million, two hundred three thousand, seventy-two".