86202340077568 has 416 divisors, whose sum is σ = 204140177841600. Its totient is φ = 35880645427200.

The previous prime is 86202340077563. The next prime is 86202340077583. The reversal of 86202340077568 is 86577004320268.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86202340077563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60323540278 + ... + 60323541706.

It is an arithmetic number, because the mean of its divisors is an integer number (490721581350).

Almost surely, 2^{86202340077568} is an apocalyptic number.

86202340077568 is a gapful number since it is divisible by the number (88) 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 86202340077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102070088920800).

86202340077568 is an abundant number, since it is smaller than the sum of its proper divisors (117937837764032).

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

86202340077568 is a wasteful number, since it uses less digits than its factorization.

86202340077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 86202340077568 in words is "eighty-six trillion, two hundred two billion, three hundred forty million, seventy-seven thousand, five hundred sixty-eight".