85686216000 has 896 divisors, whose sum is σ = 356045414400. Its totient is φ = 17639424000.

The previous prime is 85686215977. The next prime is 85686216047. The reversal of 85686216000 is 61268658.

It is a super-2 number, since 2×85686216000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 367751884 + ... + 367752116.

Almost surely, 2^85686216000 is an apocalyptic number.

85686216000 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 85686216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178022707200).

85686216000 is an abundant number, since it is smaller than the sum of its proper divisors (270359198400).

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

85686216000 is a wasteful number, since it uses less digits than its factorization.

85686216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 85686216000 in words is "eighty-five billion, six hundred eighty-six million, two hundred sixteen thousand".