86276686272 has 224 divisors, whose sum is σ = 275035914240. Its totient is φ = 23347215360.

The previous prime is 86276686267. The next prime is 86276686273. The reversal of 86276686272 is 27268667268.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×86276686272² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (86276686273) 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, 1936179 + ... + 1980237.

Almost surely, 2^86276686272 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 86276686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137517957120).

86276686272 is an abundant number, since it is smaller than the sum of its proper divisors (188759227968).

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

86276686272 is a wasteful number, since it uses less digits than its factorization.

86276686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44159 (or 44149 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 86276686272 in words is "eighty-six billion, two hundred seventy-six million, six hundred eighty-six thousand, two hundred seventy-two".