1689657973000 has 192 divisors, whose sum is σ = 4177941880320. Its totient is φ = 639509904000.

The previous prime is 1689657972979. The next prime is 1689657973021. The reversal of 1689657973000 is 3797569861.

It is an interprime number because it is at equal distance from previous prime (1689657972979) and next prime (1689657973021).

It is a self number, because there is not a number n which added to its sum of digits gives 1689657973000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357748639 + ... + 357753361.

It is an arithmetic number, because the mean of its divisors is an integer number (21760113960).

Almost surely, 2^{1689657973000} is an apocalyptic number.

1689657973000 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 1689657973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088970940160).

1689657973000 is an abundant number, since it is smaller than the sum of its proper divisors (2488283907320).

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

1689657973000 is a wasteful number, since it uses less digits than its factorization.

1689657973000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 1689657973000 in words is "one trillion, six hundred eighty-nine billion, six hundred fifty-seven million, nine hundred seventy-three thousand".