85097789700000 has 1152 divisors, whose sum is σ = 363242311004160. Its totient is φ = 16913740800000.

The previous prime is 85097789699983. The next prime is 85097789700089. The reversal of 85097789700000 is 798779058.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 85097789699898 and 85097789699907.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531219916 + ... + 531380084.

It is an arithmetic number, because the mean of its divisors is an integer number (315314506080).

Almost surely, 2^{85097789700000} is an apocalyptic number.

85097789700000 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 85097789700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621155502080).

85097789700000 is an abundant number, since it is smaller than the sum of its proper divisors (278144521304160).

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

85097789700000 is a wasteful number, since it uses less digits than its factorization.

85097789700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160248 (or 160220 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 60.

The spelling of 85097789700000 in words is "eighty-five trillion, ninety-seven billion, seven hundred eighty-nine million, seven hundred thousand".