86432803632 has 360 divisors, whose sum is σ = 309083074560. Its totient is φ = 22377358080.

The previous prime is 86432803621. The next prime is 86432803693. The reversal of 86432803632 is 23630823468.

86432803632 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 2 + 8 + 0 + 3 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3069457 + ... + 3097487.

It is an arithmetic number, because the mean of its divisors is an integer number (858564096).

Almost surely, 2^86432803632 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 86432803632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154541537280).

86432803632 is an abundant number, since it is smaller than the sum of its proper divisors (222650270928).

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

86432803632 is a wasteful number, since it uses less digits than its factorization.

86432803632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28085 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 86432803632 in words is "eighty-six billion, four hundred thirty-two million, eight hundred three thousand, six hundred thirty-two".