1985271120 has 320 divisors, whose sum is σ = 7916398080. Its totient is φ = 453496320.

The previous prime is 1985271073. The next prime is 1985271139. The reversal of 1985271120 is 211725891.

It is a happy number.

1985271120 is a `hidden beast` number, since 1 + 9 + 8 + 527 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1223910 + ... + 1225530.

It is an arithmetic number, because the mean of its divisors is an integer number (24738744).

Almost surely, 2^1985271120 is an apocalyptic number.

1985271120 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 1985271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958199040).

1985271120 is an abundant number, since it is smaller than the sum of its proper divisors (5931126960).

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

1985271120 is an equidigital number, since it uses as much as digits as its factorization.

1985271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1985271120 is about 44556.3813611474. The cubic root of 1985271120 is about 1256.8205552651.

The spelling of 1985271120 in words is "one billion, nine hundred eighty-five million, two hundred seventy-one thousand, one hundred twenty".