86224195200 has 768 divisors, whose sum is σ = 337343408640. Its totient is φ = 19082035200.

The previous prime is 86224195159. The next prime is 86224195231. The reversal of 86224195200 is 259142268.

It is a super-2 number, since 2×86224195200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146889307 + ... + 146889893.

It is an arithmetic number, because the mean of its divisors is an integer number (439249230).

Almost surely, 2^86224195200 is an apocalyptic number.

86224195200 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 86224195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168671704320).

86224195200 is an abundant number, since it is smaller than the sum of its proper divisors (251119213440).

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

86224195200 is a wasteful number, since it uses less digits than its factorization.

86224195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 86224195200 in words is "eighty-six billion, two hundred twenty-four million, one hundred ninety-five thousand, two hundred".