1985265628128 has 288 divisors, whose sum is σ = 5843436318720. Its totient is φ = 638941363200.

The previous prime is 1985265628111. The next prime is 1985265628183. The reversal of 1985265628128 is 8218265625891.

It is a happy number.

1985265628128 is a `hidden beast` number, since 1 + 9 + 8 + 52 + 6 + 562 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1985265628128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1379614033 + ... + 1379615471.

It is an arithmetic number, because the mean of its divisors is an integer number (20289709440).

Almost surely, 2^{1985265628128} is an apocalyptic number.

1985265628128 is a gapful number since it is divisible by the number (18) 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 1985265628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921718159360).

1985265628128 is an abundant number, since it is smaller than the sum of its proper divisors (3858170690592).

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

1985265628128 is a wasteful number, since it uses less digits than its factorization.

1985265628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2691 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 1985265628128 in words is "one trillion, nine hundred eighty-five billion, two hundred sixty-five million, six hundred twenty-eight thousand, one hundred twenty-eight".