85816769463000 has 1280 divisors, whose sum is σ = 325240424496000. Its totient is φ = 20932438867200.

The previous prime is 85816769462987. The next prime is 85816769463041. The reversal of 85816769463000 is 36496761858.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85816769463000 is a `hidden beast` number, since 8 + 5 + 8 + 167 + 6 + 9 + 463 + 0 + 0 + 0 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 85816769463000 = 5510³ + 44080³ = 24795³ + 41325³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2959198946986 + ... + 2959198947014.

Almost surely, 2^{85816769463000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85816769463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162620212248000).

85816769463000 is an abundant number, since it is smaller than the sum of its proper divisors (239423655033000).

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

85816769463000 is an frugal number, since it uses more digits than its factorization.

85816769463000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 85816769463000 in words is "eighty-five trillion, eight hundred sixteen billion, seven hundred sixty-nine million, four hundred sixty-three thousand".