86853534768 has 1440 divisors, whose sum is σ = 366834854400. Its totient is φ = 19091635200.

The previous prime is 86853534643. The next prime is 86853534773. The reversal of 86853534768 is 86743535868.

It is a happy number.

86853534768 is a `hidden beast` number, since 8 + 6 + 8 + 535 + 34 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (116121600) is a multiple of the sum of its prime factors (140).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2801726913 + ... + 2801726943.

Almost surely, 2^86853534768 is an apocalyptic number.

86853534768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86853534768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183417427200).

86853534768 is an abundant number, since it is smaller than the sum of its proper divisors (279981319632).

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

86853534768 is a wasteful number, since it uses less digits than its factorization.

86853534768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 86 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

It can be divided in two parts, 8685 and 3534768, that added together give a palindrome (3543453).

The spelling of 86853534768 in words is "eighty-six billion, eight hundred fifty-three million, five hundred thirty-four thousand, seven hundred sixty-eight".