86600417040 has 240 divisors, whose sum is σ = 301543557120. Its totient is φ = 22249589760.

The previous prime is 86600417027. The next prime is 86600417047. The reversal of 86600417040 is 4071400668.

86600417040 is a `hidden beast` number, since 8 + 6 + 600 + 4 + 1 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 86600416986 and 86600417004.

It is not an unprimeable number, because it can be changed into a prime (86600417047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5102809 + ... + 5119751.

It is an arithmetic number, because the mean of its divisors is an integer number (1256431488).

Almost surely, 2^86600417040 is an apocalyptic number.

86600417040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86600417040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150771778560).

86600417040 is an abundant number, since it is smaller than the sum of its proper divisors (214943140080).

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

86600417040 is a wasteful number, since it uses less digits than its factorization.

86600417040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17222 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 86600417040 in words is "eighty-six billion, six hundred million, four hundred seventeen thousand, forty".