1985827802112 has 704 divisors, whose sum is σ = 7347819494400. Its totient is φ = 514704015360.

The previous prime is 1985827802099. The next prime is 1985827802143. The reversal of 1985827802112 is 2112087285891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 1637120418 + ... + 1637121630.

It is an arithmetic number, because the mean of its divisors is an integer number (10437243600).

Almost surely, 2^{1985827802112} is an apocalyptic number.

1985827802112 is a gapful number since it is divisible by the number (12) 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 1985827802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673909747200).

1985827802112 is an abundant number, since it is smaller than the sum of its proper divisors (5361991692288).

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

1985827802112 is a wasteful number, since it uses less digits than its factorization.

1985827802112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 1985827802112 in words is "one trillion, nine hundred eighty-five billion, eight hundred twenty-seven million, eight hundred two thousand, one hundred twelve".