86567280007000 has 128 divisors (see below), whose sum is σ = 218181529238400. Its totient is φ = 31958617152000.

The previous prime is 86567280006989. The next prime is 86567280007009. The reversal of 86567280007000 is 70008276568.

86567280007000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86567280007009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88812285 + ... + 89781715.

It is an arithmetic number, because the mean of its divisors is an integer number (1704543197175).

Almost surely, 2^{86567280007000} 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 86567280007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090764619200).

86567280007000 is an abundant number, since it is smaller than the sum of its proper divisors (131614249231400).

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

86567280007000 is a wasteful number, since it uses less digits than its factorization.

86567280007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976334 (or 976320 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 86567280007000 in words is "eighty-six trillion, five hundred sixty-seven billion, two hundred eighty million, seven thousand".