86287443264 has 224 divisors, whose sum is σ = 288763130880. Its totient is φ = 25010726400.

The previous prime is 86287443227. The next prime is 86287443271. The reversal of 86287443264 is 46234478268.

86287443264 is a `hidden beast` number, since 8 + 62 + 87 + 443 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86287443264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338499 + ... + 535869.

It is an arithmetic number, because the mean of its divisors is an integer number (1289121120).

Almost surely, 2^86287443264 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 86287443264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144381565440).

86287443264 is an abundant number, since it is smaller than the sum of its proper divisors (202475687616).

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

86287443264 is a wasteful number, since it uses less digits than its factorization.

86287443264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197426 (or 197410 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 86287443264 in words is "eighty-six billion, two hundred eighty-seven million, four hundred forty-three thousand, two hundred sixty-four".