85631406173280 has 288 divisors, whose sum is σ = 321416943408288. Its totient is φ = 20759128304640.

The previous prime is 85631406173227. The next prime is 85631406173297. The reversal of 85631406173280 is 8237160413658.

85631406173280 is a `hidden beast` number, since 8 + 5 + 6 + 3 + 14 + 0 + 617 + 3 + 2 + 8 + 0 = 666.

85631406173280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20422299 + ... + 24255578.

It is an arithmetic number, because the mean of its divisors is an integer number (1116031053501).

Almost surely, 2^{85631406173280} is an apocalyptic number.

85631406173280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85631406173280 is an abundant number, since it is smaller than the sum of its proper divisors (235785537235008).

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

85631406173280 is a wasteful number, since it uses less digits than its factorization.

85631406173280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44677931 (or 44677898 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 85631406173280 in words is "eighty-five trillion, six hundred thirty-one billion, four hundred six million, one hundred seventy-three thousand, two hundred eighty".