86436406522368 has 240 divisors, whose sum is σ = 285109827178176. Its totient is φ = 24695148257280.

The previous prime is 86436406522339. The next prime is 86436406522369. The reversal of 86436406522368 is 86322560463468.

86436406522368 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 6 + 40 + 6 + 522 + 3 + 68 = 666.

It is a super-2 number, since 2×86436406522368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (86436406522369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1409266230 + ... + 1409327562.

Almost surely, 2^{86436406522368} 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 86436406522368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142554913589088).

86436406522368 is an abundant number, since it is smaller than the sum of its proper divisors (198673420655808).

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

86436406522368 is a wasteful number, since it uses less digits than its factorization.

86436406522368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105055 (or 105036 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 63.

The spelling of 86436406522368 in words is "eighty-six trillion, four hundred thirty-six billion, four hundred six million, five hundred twenty-two thousand, three hundred sixty-eight".