86675763800000 has 168 divisors, whose sum is σ = 215269398751680. Its totient is φ = 34624080000000.

The previous prime is 86675763799993. The next prime is 86675763800023. The reversal of 86675763800000 is 836757668.

It is a happy number.

86675763800000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149911466 + ... + 150488534.

It is an arithmetic number, because the mean of its divisors is an integer number (1281365468760).

Almost surely, 2^{86675763800000} is an apocalyptic number.

86675763800000 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 86675763800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107634699375840).

86675763800000 is an abundant number, since it is smaller than the sum of its proper divisors (128593634951680).

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

86675763800000 is an frugal number, since it uses more digits than its factorization.

86675763800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577857 (or 577827 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 56.

The spelling of 86675763800000 in words is "eighty-six trillion, six hundred seventy-five billion, seven hundred sixty-three million, eight hundred thousand".