86251027200 has 864 divisors, whose sum is σ = 322931331072. Its totient is φ = 20127744000.

The previous prime is 86251027199. The next prime is 86251027207. The reversal of 86251027200 is 272015268.

It is not an unprimeable number, because it can be changed into a prime (86251027207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549369522 + ... + 549369678.

Almost surely, 2^86251027200 is an apocalyptic number.

86251027200 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 86251027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161465665536).

86251027200 is an abundant number, since it is smaller than the sum of its proper divisors (236680303872).

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

86251027200 is a wasteful number, since it uses less digits than its factorization.

86251027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 86251027200 in words is "eighty-six billion, two hundred fifty-one million, twenty-seven thousand, two hundred".