1687311217000 has 256 divisors, whose sum is σ = 4271488603200. Its totient is φ = 621556531200.

The previous prime is 1687311216989. The next prime is 1687311217063. The reversal of 1687311217000 is 7121137861.

It can be written as a sum of positive squares in 32 ways, for example, as 536295511684 + 1151015705316 = 732322^2 + 1072854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146755252 + ... + 146766748.

Almost surely, 2^{1687311217000} is an apocalyptic number.

1687311217000 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 1687311217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135744301600).

1687311217000 is an abundant number, since it is smaller than the sum of its proper divisors (2584177386200).

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

1687311217000 is a wasteful number, since it uses less digits than its factorization.

1687311217000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 1687311217000 in words is "one trillion, six hundred eighty-seven billion, three hundred eleven million, two hundred seventeen thousand".