1985117662800 has 480 divisors, whose sum is σ = 7627006483200. Its totient is φ = 488886773760.

The previous prime is 1985117662733. The next prime is 1985117662837. The reversal of 1985117662800 is 82667115891.

It is a happy number.

1985117662800 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 1 + 1 + 7 + 6 + 628 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7065814 + ... + 7341386.

It is an arithmetic number, because the mean of its divisors is an integer number (15889596840).

Almost surely, 2^{1985117662800} is an apocalyptic number.

1985117662800 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 1985117662800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813503241600).

1985117662800 is an abundant number, since it is smaller than the sum of its proper divisors (5641888820400).

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

1985117662800 is a wasteful number, since it uses less digits than its factorization.

1985117662800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275652 (or 275635 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1985117662800 in words is "one trillion, nine hundred eighty-five billion, one hundred seventeen million, six hundred sixty-two thousand, eight hundred".