86007076000000 has 189 divisors, whose sum is σ = 214641275544787. Its totient is φ = 34395411200000.

The previous prime is 86007075999997. The next prime is 86007076000007. The reversal of 86007076000000 is 67070068.

The square root of 86007076000000 is 9274000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 51507147215104 + 34499928784896 = 7176848^2 + 5873664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86007076000000.

It is not an unprimeable number, because it can be changed into a prime (86007076000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18547997682 + ... + 18548002318.

Almost surely, 2^{86007076000000} is an apocalyptic number.

86007076000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86007076000000 is the 9274000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86007076000000

86007076000000 is an abundant number, since it is smaller than the sum of its proper divisors (128634199544787).

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

86007076000000 is an frugal number, since it uses more digits than its factorization.

86007076000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 86007076000000 in words is "eighty-six trillion, seven billion, seventy-six million", and thus it is an aban number and an uban number.