86565635640 has 384 divisors, whose sum is σ = 314045035200. Its totient is φ = 20501544960.

The previous prime is 86565635633. The next prime is 86565635699. The reversal of 86565635640 is 4653656568.

86565635640 is a `hidden beast` number, since 8 + 6 + 565 + 6 + 35 + 6 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58136016 + ... + 58137504.

Almost surely, 2^86565635640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86565635640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157022517600).

86565635640 is an abundant number, since it is smaller than the sum of its proper divisors (227479399560).

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

86565635640 is a wasteful number, since it uses less digits than its factorization.

86565635640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 86565635640 in words is "eighty-six billion, five hundred sixty-five million, six hundred thirty-five thousand, six hundred forty".