86229196800 has 336 divisors, whose sum is σ = 286684151040. Its totient is φ = 22868131840.

The previous prime is 86229196681. The next prime is 86229196847. The reversal of 86229196800 is 869192268.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180018961 + ... + 180019439.

It is an arithmetic number, because the mean of its divisors is an integer number (853226640).

Almost surely, 2^86229196800 is an apocalyptic number.

86229196800 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 86229196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143342075520).

86229196800 is an abundant number, since it is smaller than the sum of its proper divisors (200454954240).

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

86229196800 is a wasteful number, since it uses less digits than its factorization.

86229196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 86229196800 in words is "eighty-six billion, two hundred twenty-nine million, one hundred ninety-six thousand, eight hundred".