86356434528 has 384 divisors, whose sum is σ = 310780108800. Its totient is φ = 22717863936.

The previous prime is 86356434499. The next prime is 86356434559. The reversal of 86356434528 is 82543465368.

86356434528 is a `hidden beast` number, since 8 + 63 + 56 + 4 + 3 + 4 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37659750 + ... + 37662042.

It is an arithmetic number, because the mean of its divisors is an integer number (809323200).

Almost surely, 2^86356434528 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 86356434528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155390054400).

86356434528 is an abundant number, since it is smaller than the sum of its proper divisors (224423674272).

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

86356434528 is a wasteful number, since it uses less digits than its factorization.

86356434528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2797 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 86356434528 in words is "eighty-six billion, three hundred fifty-six million, four hundred thirty-four thousand, five hundred twenty-eight".