19852805120 has 264 divisors, whose sum is σ = 52559492544. Its totient is φ = 7180664832.

The previous prime is 19852805117. The next prime is 19852805153. The reversal of 19852805120 is 2150825891.

It is a super-2 number, since 2×19852805120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42511127 + ... + 42511593.

Almost surely, 2^19852805120 is an apocalyptic number.

19852805120 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 19852805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26279746272).

19852805120 is an abundant number, since it is smaller than the sum of its proper divisors (32706687424).

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

19852805120 is a wasteful number, since it uses less digits than its factorization.

19852805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 19852805120 in words is "nineteen billion, eight hundred fifty-two million, eight hundred five thousand, one hundred twenty".