85871514300 has 576 divisors, whose sum is σ = 315189826560. Its totient is φ = 17740800000.

The previous prime is 85871514293. The next prime is 85871514307. The reversal of 85871514300 is 341517858.

It is an interprime number because it is at equal distance from previous prime (85871514293) and next prime (85871514307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85871514307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28612800 + ... + 28615800.

It is an arithmetic number, because the mean of its divisors is an integer number (547204560).

Almost surely, 2^85871514300 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 85871514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157594913280).

85871514300 is an abundant number, since it is smaller than the sum of its proper divisors (229318312260).

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

85871514300 is a wasteful number, since it uses less digits than its factorization.

85871514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 85871514300 in words is "eighty-five billion, eight hundred seventy-one million, five hundred fourteen thousand, three hundred".