19958296200 has 192 divisors, whose sum is σ = 63955906560. Its totient is φ = 5145611520.

The previous prime is 19958296199. The next prime is 19958296201. The reversal of 19958296200 is 269285991.

It is an interprime number because it is at equal distance from previous prime (19958296199) and next prime (19958296201).

It is not an unprimeable number, because it can be changed into a prime (19958296201) 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 47 ways as a sum of consecutive naturals, for example, 2336337 + ... + 2344863.

It is an arithmetic number, because the mean of its divisors is an integer number (333103680).

Almost surely, 2^19958296200 is an apocalyptic number.

19958296200 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 19958296200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31977953280).

19958296200 is an abundant number, since it is smaller than the sum of its proper divisors (43997610360).

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

19958296200 is a wasteful number, since it uses less digits than its factorization.

19958296200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8676 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 19958296200 in words is "nineteen billion, nine hundred fifty-eight million, two hundred ninety-six thousand, two hundred".