85969163765760 has 768 divisors, whose sum is σ = 318321482169600. Its totient is φ = 19575865344000.

The previous prime is 85969163765671. The next prime is 85969163765767. The reversal of 85969163765760 is 6756736196958.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (85969163765767) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2924007060 + ... + 2924036460.

It is an arithmetic number, because the mean of its divisors is an integer number (414481096575).

Almost surely, 2^{85969163765760} is an apocalyptic number.

85969163765760 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 85969163765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159160741084800).

85969163765760 is an abundant number, since it is smaller than the sum of its proper divisors (232352318403840).

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

85969163765760 is a wasteful number, since it uses less digits than its factorization.

85969163765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29968 (or 29948 counting only the distinct ones).

The product of its (nonzero) digits is 3086294400, while the sum is 78.

The spelling of 85969163765760 in words is "eighty-five trillion, nine hundred sixty-nine billion, one hundred sixty-three million, seven hundred sixty-five thousand, seven hundred sixty".