86424194205756 has 144 divisors (see below), whose sum is σ = 244983129562080. Its totient is φ = 25458353256960.

The previous prime is 86424194205667. The next prime is 86424194205761. The reversal of 86424194205756 is 65750249142468.

86424194205756 is a `hidden beast` number, since 8 + 6 + 4 + 2 + 4 + 19 + 42 + 0 + 575 + 6 = 666.

It is a super-2 number, since 2×86424194205756² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86424194205693 and 86424194205702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13589710 + ... + 18908426.

It is an arithmetic number, because the mean of its divisors is an integer number (1701271733070).

Almost surely, 2^{86424194205756} 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 86424194205756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122491564781040).

86424194205756 is an abundant number, since it is smaller than the sum of its proper divisors (158558935356324).

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

86424194205756 is a wasteful number, since it uses less digits than its factorization.

86424194205756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319884 (or 5319879 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 86424194205756 in words is "eighty-six trillion, four hundred twenty-four billion, one hundred ninety-four million, two hundred five thousand, seven hundred fifty-six".