86262026268 has 144 divisors (see below), whose sum is σ = 224057141280. Its totient is φ = 25808640000.

The previous prime is 86262026251. The next prime is 86262026269.

86262026268 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×86262026268² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86262026269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76405128 + ... + 76406256.

It is an arithmetic number, because the mean of its divisors is an integer number (1555952370).

Almost surely, 2^86262026268 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 86262026268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112028570640).

86262026268 is an abundant number, since it is smaller than the sum of its proper divisors (137795115012).

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

86262026268 is a wasteful number, since it uses less digits than its factorization.

86262026268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

It can be divided in two parts, 862620 and 26268, that added together give a palindrome (888888).

The spelling of 86262026268 in words is "eighty-six billion, two hundred sixty-two million, twenty-six thousand, two hundred sixty-eight".