86953434768 has 80 divisors (see below), whose sum is σ = 249831926400. Its totient is φ = 28956216960.

The previous prime is 86953434767. The next prime is 86953434851. The reversal of 86953434768 is 86743435968.

86953434768 is a `hidden beast` number, since 8 + 6 + 9 + 534 + 34 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (86953434767) 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 15 ways as a sum of consecutive naturals, for example, 347778 + ... + 543006.

It is an arithmetic number, because the mean of its divisors is an integer number (3122899080).

Almost surely, 2^86953434768 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 86953434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124915963200).

86953434768 is an abundant number, since it is smaller than the sum of its proper divisors (162878491632).

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

86953434768 is a wasteful number, since it uses less digits than its factorization.

86953434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196277 (or 196265 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 86953434768 in words is "eighty-six billion, nine hundred fifty-three million, four hundred thirty-four thousand, seven hundred sixty-eight".