86818068000 has 672 divisors, whose sum is σ = 336869245440. Its totient is φ = 21918988800.

The previous prime is 86818067993. The next prime is 86818068011. The reversal of 86818068000 is 86081868.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 55403217 + ... + 55404783.

It is an arithmetic number, because the mean of its divisors is an integer number (501293520).

Almost surely, 2^86818068000 is an apocalyptic number.

86818068000 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 86818068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168434622720).

86818068000 is an abundant number, since it is smaller than the sum of its proper divisors (250051177440).

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

86818068000 is a wasteful number, since it uses less digits than its factorization.

86818068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 86818068000 in words is "eighty-six billion, eight hundred eighteen million, sixty-eight thousand".