1687166606160 has 400 divisors, whose sum is σ = 7090828943616. Its totient is φ = 362953322496.

The previous prime is 1687166606093. The next prime is 1687166606197. The reversal of 1687166606160 is 616066617861.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1687166606097 and 1687166606106.

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, 322852 + ... + 1865091.

Almost surely, 2^{1687166606160} is an apocalyptic number.

1687166606160 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 1687166606160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545414471808).

1687166606160 is an abundant number, since it is smaller than the sum of its proper divisors (5403662337456).

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

1687166606160 is a wasteful number, since it uses less digits than its factorization.

1687166606160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187992 (or 2187977 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1687166606160 in words is "one trillion, six hundred eighty-seven billion, one hundred sixty-six million, six hundred six thousand, one hundred sixty".