86487321563136 has 1456 divisors, whose sum is σ = 295614790980096. Its totient is φ = 25086852071424.

The previous prime is 86487321563131. The next prime is 86487321563147. The reversal of 86487321563136 is 63136512378468.

86487321563136 is a `hidden beast` number, since 8 + 6 + 4 + 8 + 7 + 32 + 1 + 563 + 1 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86487321563131) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 65175072105 + ... + 65175073431.

Almost surely, 2^{86487321563136} 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 86487321563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147807395490048).

86487321563136 is an abundant number, since it is smaller than the sum of its proper divisors (209127469416960).

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

86487321563136 is a wasteful number, since it uses less digits than its factorization.

86487321563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1441 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 86487321563136 in words is "eighty-six trillion, four hundred eighty-seven billion, three hundred twenty-one million, five hundred sixty-three thousand, one hundred thirty-six".