86754177145768 has 128 divisors (see below), whose sum is σ = 180842758358400. Its totient is φ = 38687459328000.

The previous prime is 86754177145763. The next prime is 86754177145817.

86754177145768 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86754177145694 and 86754177145703.

It is not an unprimeable number, because it can be changed into a prime (86754177145763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4743507568 + ... + 4743525856.

It is an arithmetic number, because the mean of its divisors is an integer number (1412834049675).

Almost surely, 2^{86754177145768} is an apocalyptic number.

86754177145768 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 86754177145768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90421379179200).

86754177145768 is an abundant number, since it is smaller than the sum of its proper divisors (94088581212632).

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

86754177145768 is a wasteful number, since it uses less digits than its factorization.

86754177145768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23243 (or 23239 counting only the distinct ones).

The product of its digits is 2212761600, while the sum is 76.

The spelling of 86754177145768 in words is "eighty-six trillion, seven hundred fifty-four billion, one hundred seventy-seven million, one hundred forty-five thousand, seven hundred sixty-eight".