86416300432 has 240 divisors, whose sum is σ = 217644641280. Its totient is φ = 32859321600.

The previous prime is 86416300429. The next prime is 86416300433. The reversal of 86416300432 is 23400361468.

It is a junction number, because it is equal to n+sod(n) for n = 86416300391 and 86416300400.

It is not an unprimeable number, because it can be changed into a prime (86416300433) 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, 65515869 + ... + 65517187.

It is an arithmetic number, because the mean of its divisors is an integer number (906852672).

Almost surely, 2^86416300432 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 86416300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108822320640).

86416300432 is an abundant number, since it is smaller than the sum of its proper divisors (131228340848).

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

86416300432 is a wasteful number, since it uses less digits than its factorization.

86416300432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 86416300432 in words is "eighty-six billion, four hundred sixteen million, three hundred thousand, four hundred thirty-two".