86003389440 has 220 divisors, whose sum is σ = 308189008116. Its totient is φ = 22934126592.

The previous prime is 86003389429. The next prime is 86003389499. The reversal of 86003389440 is 4498330068.

86003389440 is a `hidden beast` number, since 8 + 600 + 3 + 38 + 9 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56043933696 + 29959455744 = 236736^2 + 173088^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 311032 + ... + 518408.

Almost surely, 2^86003389440 is an apocalyptic number.

86003389440 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 86003389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154094504058).

86003389440 is an abundant number, since it is smaller than the sum of its proper divisors (222185618676).

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

86003389440 is a wasteful number, since it uses less digits than its factorization.

86003389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207414 (or 207387 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 86003389440 in words is "eighty-six billion, three million, three hundred eighty-nine thousand, four hundred forty".