86649275538 has 288 divisors, whose sum is σ = 232401312000. Its totient is φ = 23217207552.

The previous prime is 86649275509. The next prime is 86649275539. The reversal of 86649275538 is 83557294668.

It is a happy number.

86649275538 is a `hidden beast` number, since 8 + 6 + 6 + 4 + 92 + 7 + 5 + 538 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86649275539) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 329464795 + ... + 329465057.

It is an arithmetic number, because the mean of its divisors is an integer number (806949000).

Almost surely, 2^86649275538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86649275538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116200656000).

86649275538 is an abundant number, since it is smaller than the sum of its proper divisors (145752036462).

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

86649275538 is a wasteful number, since it uses less digits than its factorization.

86649275538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 86649275538 in words is "eighty-six billion, six hundred forty-nine million, two hundred seventy-five thousand, five hundred thirty-eight".