85129482210864 has 320 divisors, whose sum is σ = 279265925836800. Its totient is φ = 21749272436736.

The previous prime is 85129482210823. The next prime is 85129482210869. The reversal of 85129482210864 is 46801228492158.

It is a junction number, because it is equal to n+sod(n) for n = 85129482210798 and 85129482210807.

It is not an unprimeable number, because it can be changed into a prime (85129482210869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15961452 + ... + 20616180.

It is an arithmetic number, because the mean of its divisors is an integer number (872706018240).

Almost surely, 2^{85129482210864} is an apocalyptic number.

85129482210864 is a gapful number since it is divisible by the number (84) 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 85129482210864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139632962918400).

85129482210864 is an abundant number, since it is smaller than the sum of its proper divisors (194136443625936).

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

85129482210864 is a wasteful number, since it uses less digits than its factorization.

85129482210864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4654892 (or 4654886 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 60.

The spelling of 85129482210864 in words is "eighty-five trillion, one hundred twenty-nine billion, four hundred eighty-two million, two hundred ten thousand, eight hundred sixty-four".