1686887419140 has 864 divisors, whose sum is σ = 6866988670080. Its totient is φ = 342342443520.

The previous prime is 1686887419051. The next prime is 1686887419211. The reversal of 1686887419140 is 419147886861.

1686887419140 is a `hidden beast` number, since 16 + 8 + 68 + 8 + 7 + 419 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 137665254 + ... + 137677506.

Almost surely, 2^{1686887419140} is an apocalyptic number.

1686887419140 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 1686887419140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433494335040).

1686887419140 is an abundant number, since it is smaller than the sum of its proper divisors (5180101250940).

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

1686887419140 is a wasteful number, since it uses less digits than its factorization.

1686887419140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12324 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 1686887419140 in words is "one trillion, six hundred eighty-six billion, eight hundred eighty-seven million, four hundred nineteen thousand, one hundred forty".