86107378158864 has 320 divisors, whose sum is σ = 252696112128000. Its totient is φ = 28417747176576.

The previous prime is 86107378158839. The next prime is 86107378158889. The reversal of 86107378158864 is 46885187370168.

It is a happy number.

86107378158864 is a `hidden beast` number, since 8 + 6 + 1 + 0 + 7 + 37 + 8 + 1 + 588 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (86107378158839) and next prime (86107378158889).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 86107378158792 and 86107378158801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7634303977 + ... + 7634315255.

It is an arithmetic number, because the mean of its divisors is an integer number (789675350400).

Almost surely, 2^{86107378158864} 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 86107378158864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126348056064000).

86107378158864 is an abundant number, since it is smaller than the sum of its proper divisors (166588733969136).

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

86107378158864 is a wasteful number, since it uses less digits than its factorization.

86107378158864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454 (or 13430 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 72.

The spelling of 86107378158864 in words is "eighty-six trillion, one hundred seven billion, three hundred seventy-eight million, one hundred fifty-eight thousand, eight hundred sixty-four".