86421230064 has 240 divisors, whose sum is σ = 275719123680. Its totient is φ = 25076459520.

The previous prime is 86421230057. The next prime is 86421230069. The reversal of 86421230064 is 46003212468.

86421230064 is a `hidden beast` number, since 8 + 642 + 1 + 2 + 3 + 0 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86421230069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2315874 + ... + 2352894.

It is an arithmetic number, because the mean of its divisors is an integer number (1148829682).

Almost surely, 2^86421230064 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 86421230064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137859561840).

86421230064 is an abundant number, since it is smaller than the sum of its proper divisors (189297893616).

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

86421230064 is a wasteful number, since it uses less digits than its factorization.

86421230064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37120 (or 37111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 86421230064 in words is "eighty-six billion, four hundred twenty-one million, two hundred thirty thousand, sixty-four".