86254467552 has 288 divisors, whose sum is σ = 277286405760. Its totient is φ = 25207004160.

The previous prime is 86254467517. The next prime is 86254467583. The reversal of 86254467552 is 25576445268.

86254467552 is a `hidden beast` number, since 8 + 6 + 25 + 4 + 4 + 67 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×86254467552³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9901983 + ... + 9910689.

It is an arithmetic number, because the mean of its divisors is an integer number (962800020).

Almost surely, 2^86254467552 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 86254467552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138643202880).

86254467552 is an abundant number, since it is smaller than the sum of its proper divisors (191031938208).

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

86254467552 is a wasteful number, since it uses less digits than its factorization.

86254467552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8835 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 86254467552 in words is "eighty-six billion, two hundred fifty-four million, four hundred sixty-seven thousand, five hundred fifty-two".