86826343219200 has 1080 divisors, whose sum is σ = 347357118221568. Its totient is φ = 21372319825920.

The previous prime is 86826343219183. The next prime is 86826343219201. The reversal of 86826343219200 is 291234362868.

86826343219200 is a `hidden beast` number, since 8 + 6 + 82 + 6 + 34 + 321 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86826343219201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293892849 + ... + 1293959951.

Almost surely, 2^{86826343219200} is an apocalyptic number.

86826343219200 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 86826343219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173678559110784).

86826343219200 is an abundant number, since it is smaller than the sum of its proper divisors (260530775002368).

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

86826343219200 is an equidigital number, since it uses as much as digits as its factorization.

86826343219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67169 (or 67126 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 86826343219200 in words is "eighty-six trillion, eight hundred twenty-six billion, three hundred forty-three million, two hundred nineteen thousand, two hundred".