86282615685200 has 120 divisors (see below), whose sum is σ = 226170810855936. Its totient is φ = 31371068032000.

The previous prime is 86282615685193. The next prime is 86282615685239. The reversal of 86282615685200 is 258651628268.

86282615685200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 86282615685200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29872820 + ... + 32633580.

Almost surely, 2^{86282615685200} is an apocalyptic number.

86282615685200 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 86282615685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113085405427968).

86282615685200 is an abundant number, since it is smaller than the sum of its proper divisors (139888195170736).

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

86282615685200 is a wasteful number, since it uses less digits than its factorization.

86282615685200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767893 (or 2767882 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 59.

The spelling of 86282615685200 in words is "eighty-six trillion, two hundred eighty-two billion, six hundred fifteen million, six hundred eighty-five thousand, two hundred".