86432427900 has 648 divisors, whose sum is σ = 342806340240. Its totient is φ = 18053038080.

The previous prime is 86432427857. The next prime is 86432427901. The reversal of 86432427900 is 972423468.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86432427901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61342396 + ... + 61343804.

It is an arithmetic number, because the mean of its divisors is an integer number (529022130).

Almost surely, 2^86432427900 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 86432427900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171403170120).

86432427900 is an abundant number, since it is smaller than the sum of its proper divisors (256373912340).

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

86432427900 is a wasteful number, since it uses less digits than its factorization.

86432427900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 86432427900 in words is "eighty-six billion, four hundred thirty-two million, four hundred twenty-seven thousand, nine hundred".