86753555361 has 64 divisors (see below), whose sum is σ = 146673504000. Its totient is φ = 50194045440.

The previous prime is 86753555359. The next prime is 86753555377. The reversal of 86753555361 is 16355535768.

86753555361 is a `hidden beast` number, since 8 + 6 + 7 + 53 + 55 + 536 + 1 = 666.

It is not a de Polignac number, because 86753555361 - 2¹ = 86753555359 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 86753555298 and 86753555307.

It is not an unprimeable number, because it can be changed into a prime (86753555311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 709971 + ... + 823143.

It is an arithmetic number, because the mean of its divisors is an integer number (2291773500).

Almost surely, 2^86753555361 is an apocalyptic number.

It is an amenable number.

86753555361 is a deficient number, since it is larger than the sum of its proper divisors (59919948639).

86753555361 is a wasteful number, since it uses less digits than its factorization.

86753555361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113311 (or 113305 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 86753555361 in words is "eighty-six billion, seven hundred fifty-three million, five hundred fifty-five thousand, three hundred sixty-one".