1985153016 has 128 divisors (see below), whose sum is σ = 6233448960. Its totient is φ = 511795200.

The previous prime is 1985152997. The next prime is 1985153033. The reversal of 1985153016 is 6103515891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249256 + ... + 257096.

It is an arithmetic number, because the mean of its divisors is an integer number (48698820).

Almost surely, 2^1985153016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985153016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116724480).

1985153016 is an abundant number, since it is smaller than the sum of its proper divisors (4248295944).

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

1985153016 is a wasteful number, since it uses less digits than its factorization.

1985153016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 1985153016 is about 44555.0560093913. The cubic root of 1985153016 is about 1256.7956319726.

The spelling of 1985153016 in words is "one billion, nine hundred eighty-five million, one hundred fifty-three thousand, sixteen".