86215536468 has 72 divisors (see below), whose sum is σ = 223078856000. Its totient is φ = 28060494336.

The previous prime is 86215536467. The next prime is 86215536479. The reversal of 86215536468 is 86463551268.

86215536468 is a `hidden beast` number, since 8 + 6 + 21 + 553 + 6 + 4 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86215536467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501508 + ... + 5517156.

Almost surely, 2^86215536468 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 86215536468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111539428000).

86215536468 is an abundant number, since it is smaller than the sum of its proper divisors (136863319532).

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

86215536468 is a wasteful number, since it uses less digits than its factorization.

86215536468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19261 (or 19256 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 86215536468 in words is "eighty-six billion, two hundred fifteen million, five hundred thirty-six thousand, four hundred sixty-eight".