86212437767424 has 216 divisors, whose sum is σ = 263323535889960. Its totient is φ = 27033684148224.

The previous prime is 86212437767413. The next prime is 86212437767513. The reversal of 86212437767424 is 42476773421268.

86212437767424 is a `hidden beast` number, since 8 + 6 + 212 + 4 + 377 + 6 + 7 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27491481805824 + 58720955961600 = 5243232^2 + 7662960^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78929464 + ... + 80014280.

It is an arithmetic number, because the mean of its divisors is an integer number (1219090443935).

Almost surely, 2^{86212437767424} 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 86212437767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131661767944980).

86212437767424 is an abundant number, since it is smaller than the sum of its proper divisors (177111098122536).

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

86212437767424 is a wasteful number, since it uses less digits than its factorization.

86212437767424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086885 (or 1086868 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 63.

The spelling of 86212437767424 in words is "eighty-six trillion, two hundred twelve billion, four hundred thirty-seven million, seven hundred sixty-seven thousand, four hundred twenty-four".