86538986640 has 60 divisors (see below), whose sum is σ = 290626765884. Its totient is φ = 23077062912.

The previous prime is 86538986627. The next prime is 86538986641. The reversal of 86538986640 is 4668983568.

86538986640 is a `hidden beast` number, since 8 + 6 + 538 + 98 + 6 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39929630976 + 46609355664 = 199824^2 + 215892^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (86538986641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60095799 + ... + 60097238.

Almost surely, 2^86538986640 is an apocalyptic number.

86538986640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86538986640 is an abundant number, since it is smaller than the sum of its proper divisors (204087779244).

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

86538986640 is a wasteful number, since it uses less digits than its factorization.

86538986640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120193056 (or 120193047 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 86538986640 in words is "eighty-six billion, five hundred thirty-eight million, nine hundred eighty-six thousand, six hundred forty".