86377477368 has 128 divisors (see below), whose sum is σ = 265966041600. Its totient is φ = 22764658176.

The previous prime is 86377477357. The next prime is 86377477369.

86377477368 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86377477368² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 86377477299 and 86377477308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86377477369) 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, 3225538 + ... + 3252206.

It is an arithmetic number, because the mean of its divisors is an integer number (2077859700).

Almost surely, 2^86377477368 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 86377477368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132983020800).

86377477368 is an abundant number, since it is smaller than the sum of its proper divisors (179588564232).

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

86377477368 is a wasteful number, since it uses less digits than its factorization.

86377477368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28181 (or 28177 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 86377477368 in words is "eighty-six billion, three hundred seventy-seven million, four hundred seventy-seven thousand, three hundred sixty-eight".