86506291277640 has 96 divisors (see below), whose sum is σ = 302772019488120. Its totient is φ = 21293856313344.

The previous prime is 86506291277633. The next prime is 86506291277677. The reversal of 86506291277640 is 4677219260568.

86506291277640 is a `hidden beast` number, since 8 + 6 + 506 + 2 + 9 + 12 + 7 + 76 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45121232610756 + 41385058666884 = 6717234^2 + 6433122^2 .

It is a super-2 number, since 2×86506291277640² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9242120457 + ... + 9242129816.

Almost surely, 2^{86506291277640} is an apocalyptic number.

It is an amenable number.

86506291277640 is an abundant number, since it is smaller than the sum of its proper divisors (216265728210480).

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

86506291277640 is a wasteful number, since it uses less digits than its factorization.

86506291277640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18484250303 (or 18484250296 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 86506291277640 in words is "eighty-six trillion, five hundred six billion, two hundred ninety-one million, two hundred seventy-seven thousand, six hundred forty".