85431134160 has 100 divisors (see below), whose sum is σ = 296715007908. Its totient is φ = 22781634048.

The previous prime is 85431134153. The next prime is 85431134171. The reversal of 85431134160 is 6143113458.

85431134160 is a `hidden beast` number, since 8 + 543 + 1 + 13 + 41 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29438323776 + 55992810384 = 171576^2 + 236628^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6585429 + ... + 6598388.

Almost surely, 2^85431134160 is an apocalyptic number.

85431134160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85431134160 is an abundant number, since it is smaller than the sum of its proper divisors (211283873748).

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

85431134160 is a wasteful number, since it uses less digits than its factorization.

85431134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13183842 (or 13183827 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 85431134160 in words is "eighty-five billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred sixty".