86650597440 has 1008 divisors, whose sum is σ = 360467452800. Its totient is φ = 19001917440.

The previous prime is 86650597399. The next prime is 86650597441. The reversal of 86650597440 is 4479505668.

86650597440 is a `hidden beast` number, since 8 + 6 + 6 + 5 + 0 + 597 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (86650597441) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 152285476 + ... + 152286044.

It is an arithmetic number, because the mean of its divisors is an integer number (357606600).

Almost surely, 2^86650597440 is an apocalyptic number.

86650597440 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 86650597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180233726400).

86650597440 is an abundant number, since it is smaller than the sum of its proper divisors (273816855360).

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

86650597440 is a wasteful number, since it uses less digits than its factorization.

86650597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 86650597440 in words is "eighty-six billion, six hundred fifty million, five hundred ninety-seven thousand, four hundred forty".