85031468081280 has 768 divisors, whose sum is σ = 363129661440000. Its totient is φ = 18590725435392.

The previous prime is 85031468081279. The next prime is 85031468081311. The reversal of 85031468081280 is 8218086413058.

85031468081280 is a `hidden beast` number, since 8 + 50 + 3 + 1 + 468 + 0 + 8 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23340721 + ... + 26736719.

It is an arithmetic number, because the mean of its divisors is an integer number (472825080000).

Almost surely, 2^{85031468081280} is an apocalyptic number.

85031468081280 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 85031468081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181564830720000).

85031468081280 is an abundant number, since it is smaller than the sum of its proper divisors (278098193358720).

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

85031468081280 is a wasteful number, since it uses less digits than its factorization.

85031468081280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396063 (or 3396039 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 85031468081280 in words is "eighty-five trillion, thirty-one billion, four hundred sixty-eight million, eighty-one thousand, two hundred eighty".