86371766208 has 448 divisors, whose sum is σ = 328972672000. Its totient is φ = 21579706368.

The previous prime is 86371766171. The next prime is 86371766237. The reversal of 86371766208 is 80266717368.

86371766208 is a `hidden beast` number, since 8 + 6 + 3 + 7 + 1 + 7 + 6 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973258 + ... + 3002166.

It is an arithmetic number, because the mean of its divisors is an integer number (734314000).

Almost surely, 2^86371766208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86371766208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164486336000).

86371766208 is an abundant number, since it is smaller than the sum of its proper divisors (242600905792).

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

86371766208 is a wasteful number, since it uses less digits than its factorization.

86371766208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28969 (or 28953 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 86371766208 in words is "eighty-six billion, three hundred seventy-one million, seven hundred sixty-six thousand, two hundred eight".