86196181363200 has 2400 divisors, whose sum is σ = 350345357961984. Its totient is φ = 20843813928960.

The previous prime is 86196181363199. The next prime is 86196181363297. The reversal of 86196181363200 is 236318169168.

86196181363200 is a `hidden beast` number, since 8 + 6 + 1 + 9 + 618 + 13 + 6 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

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 239 ways as a sum of consecutive naturals, for example, 55503013624 + ... + 55503015176.

Almost surely, 2^{86196181363200} is an apocalyptic number.

86196181363200 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 86196181363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175172678980992).

86196181363200 is an abundant number, since it is smaller than the sum of its proper divisors (264149176598784).

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

86196181363200 is a wasteful number, since it uses less digits than its factorization.

86196181363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 86196181363200 in words is "eighty-six trillion, one hundred ninety-six billion, one hundred eighty-one million, three hundred sixty-three thousand, two hundred".