86117826240 has 280 divisors, whose sum is σ = 308760156672. Its totient is φ = 22783057920.

The previous prime is 86117826233. The next prime is 86117826247. The reversal of 86117826240 is 4262871168.

86117826240 is a `hidden beast` number, since 8 + 6 + 1 + 17 + 8 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86117826233) and next prime (86117826247).

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

It is not an unprimeable number, because it can be changed into a prime (86117826247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3278760 + ... + 3304920.

Almost surely, 2^86117826240 is an apocalyptic number.

86117826240 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 86117826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154380078336).

86117826240 is an abundant number, since it is smaller than the sum of its proper divisors (222642330432).

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

86117826240 is a wasteful number, since it uses less digits than its factorization.

86117826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26317 (or 26298 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 86117826240 in words is "eighty-six billion, one hundred seventeen million, eight hundred twenty-six thousand, two hundred forty".