1687392000000 has 2016 divisors, whose sum is σ = 7452804602880. Its totient is φ = 373248000000.

The previous prime is 1687391999989. The next prime is 1687392000001. The reversal of 1687392000000 is 2937861.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1687392000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 54431999985 + ... + 54432000015.

It is an arithmetic number, because the mean of its divisors is an integer number (3696827680).

Almost surely, 2^{1687392000000} is an apocalyptic number.

1687392000000 is a gapful number since it is divisible by the number (10) 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 1687392000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726402301440).

1687392000000 is an abundant number, since it is smaller than the sum of its proper divisors (5765412602880).

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

1687392000000 is an frugal number, since it uses more digits than its factorization.

1687392000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1687392000000 its reverse (2937861), we get a palindrome (1687394937861).

The spelling of 1687392000000 in words is "one trillion, six hundred eighty-seven billion, three hundred ninety-two million", and thus it is an aban number.