19945749120 has 512 divisors, whose sum is σ = 74540424960. Its totient is φ = 4482662400.

The previous prime is 19945749113. The next prime is 19945749121. The reversal of 19945749120 is 2194754991.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (19945749121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26209540 + ... + 26210300.

Almost surely, 2^19945749120 is an apocalyptic number.

19945749120 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 19945749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37270212480).

19945749120 is an abundant number, since it is smaller than the sum of its proper divisors (54594675840).

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

19945749120 is a wasteful number, since it uses less digits than its factorization.

19945749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 19945749120 in words is "nineteen billion, nine hundred forty-five million, seven hundred forty-nine thousand, one hundred twenty".