86316678000 has 800 divisors, whose sum is σ = 360268846080. Its totient is φ = 19511539200.

The previous prime is 86316677987. The next prime is 86316678001. The reversal of 86316678000 is 87661368.

86316678000 is a `hidden beast` number, since 8 + 631 + 6 + 6 + 7 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86316678001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116801631 + ... + 116802369.

Almost surely, 2^86316678000 is an apocalyptic number.

86316678000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86316678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180134423040).

86316678000 is an abundant number, since it is smaller than the sum of its proper divisors (273952168080).

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

86316678000 is a wasteful number, since it uses less digits than its factorization.

86316678000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 86316678000 in words is "eighty-six billion, three hundred sixteen million, six hundred seventy-eight thousand".