1686285387072 has 560 divisors, whose sum is σ = 6075152899200. Its totient is φ = 455417303040.

The previous prime is 1686285387053. The next prime is 1686285387091. The reversal of 1686285387072 is 2707835826861.

1686285387072 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 28 + 538 + 7 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1686285387053) and next prime (1686285387091).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21458829 + ... + 21537267.

It is an arithmetic number, because the mean of its divisors is an integer number (10848487320).

Almost surely, 2^{1686285387072} is an apocalyptic number.

1686285387072 is a gapful number since it is divisible by the number (12) 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 1686285387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037576449600).

1686285387072 is an abundant number, since it is smaller than the sum of its proper divisors (4388867512128).

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

1686285387072 is a wasteful number, since it uses less digits than its factorization.

1686285387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78516 (or 78497 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1686285387072 in words is "one trillion, six hundred eighty-six billion, two hundred eighty-five million, three hundred eighty-seven thousand, seventy-two".