86406400080 has 1800 divisors, whose sum is σ = 415625413896. Its totient is φ = 16477655040.

The previous prime is 86406400051. The next prime is 86406400109. The reversal of 86406400080 is 8000460468.

86406400080 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 640 + 0 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86406400051) and next prime (86406400109).

It can be written as a sum of positive squares in 4 ways, for example, as 11095672896 + 75310727184 = 105336^2 + 274428^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 499458874 + ... + 499459046.

Almost surely, 2^86406400080 is an apocalyptic number.

86406400080 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 86406400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207812706948).

86406400080 is an abundant number, since it is smaller than the sum of its proper divisors (329219013816).

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

86406400080 is a wasteful number, since it uses less digits than its factorization.

86406400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 86406400080 in words is "eighty-six billion, four hundred six million, four hundred thousand, eighty".