86171904000 has 1536 divisors, whose sum is σ = 394944076800. Its totient is φ = 18048614400.

The previous prime is 86171903989. The next prime is 86171904001. The reversal of 86171904000 is 40917168.

86171904000 is a `hidden beast` number, since 8 + 61 + 7 + 190 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86171904001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 628991932 + ... + 628992068.

It is an arithmetic number, because the mean of its divisors is an integer number (257125050).

Almost surely, 2^86171904000 is an apocalyptic number.

86171904000 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 86171904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197472038400).

86171904000 is an abundant number, since it is smaller than the sum of its proper divisors (308772172800).

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

86171904000 is a wasteful number, since it uses less digits than its factorization.

86171904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 86171904000 in words is "eighty-six billion, one hundred seventy-one million, nine hundred four thousand".