1985673690000 has 4000 divisors, whose sum is σ = 10079461539840. Its totient is φ = 363916800000.

The previous prime is 1985673689999. The next prime is 1985673690047. The reversal of 1985673690000 is 963765891.

1985673690000 is a `hidden beast` number, since 19 + 8 + 567 + 3 + 69 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1985673690000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 25135109961 + ... + 25135110039.

Almost surely, 2^{1985673690000} is an apocalyptic number.

1985673690000 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 1985673690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039730769920).

1985673690000 is an abundant number, since it is smaller than the sum of its proper divisors (8093787849840).

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

1985673690000 is a wasteful number, since it uses less digits than its factorization.

1985673690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1985673690000 in words is "one trillion, nine hundred eighty-five billion, six hundred seventy-three million, six hundred ninety thousand".