85069909854720 has 720 divisors, whose sum is σ = 343090910684808. Its totient is φ = 19423644549120.

The previous prime is 85069909854707. The next prime is 85069909854731. The reversal of 85069909854720 is 2745890996058.

85069909854720 is a `hidden beast` number, since 8 + 5 + 0 + 69 + 9 + 0 + 98 + 5 + 472 + 0 = 666.

85069909854720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70610812344576 + 14459097510144 = 8403024^2 + 3802512^2 .

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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1062311322 + ... + 1062391398.

Almost surely, 2^{85069909854720} is an apocalyptic number.

85069909854720 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 85069909854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171545455342404).

85069909854720 is an abundant number, since it is smaller than the sum of its proper divisors (258021000830088).

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

85069909854720 is a wasteful number, since it uses less digits than its factorization.

85069909854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81061 (or 81035 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 85069909854720 in words is "eighty-five trillion, sixty-nine billion, nine hundred nine million, eight hundred fifty-four thousand, seven hundred twenty".