19980458960 has 240 divisors, whose sum is σ = 58777488000. Its totient is φ = 6182753280.

The previous prime is 19980458959. The next prime is 19980458977. The reversal of 19980458960 is 6985408991.

It is a self number, because there is not a number n which added to its sum of digits gives 19980458960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10095251 + ... + 10097229.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 2^19980458960 is an apocalyptic number.

19980458960 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 19980458960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29388744000).

19980458960 is an abundant number, since it is smaller than the sum of its proper divisors (38797029040).

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

19980458960 is a wasteful number, since it uses less digits than its factorization.

19980458960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 59.

The spelling of 19980458960 in words is "nineteen billion, nine hundred eighty million, four hundred fifty-eight thousand, nine hundred sixty".