86858384527800 has 72 divisors (see below), whose sum is σ = 291699408045240. Its totient is φ = 23162235873600.

The previous prime is 86858384527721. The next prime is 86858384527829. The reversal of 86858384527800 is 872548385868.

86858384527800 is a `hidden beast` number, since 8 + 68 + 5 + 8 + 38 + 4 + 527 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24127327236 + ... + 24127330835.

It is an arithmetic number, because the mean of its divisors is an integer number (4051380667295).

Almost surely, 2^{86858384527800} is an apocalyptic number.

It is an amenable number.

86858384527800 is an abundant number, since it is smaller than the sum of its proper divisors (204841023517440).

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

86858384527800 is a wasteful number, since it uses less digits than its factorization.

86858384527800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48254658093 (or 48254658081 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 86858384527800 in words is "eighty-six trillion, eight hundred fifty-eight billion, three hundred eighty-four million, five hundred twenty-seven thousand, eight hundred".