19958400000 has 1320 divisors, whose sum is σ = 92876680512. Its totient is φ = 4147200000.

The previous prime is 19958399999. The next prime is 19958400001. The reversal of 19958400000 is 485991.

It is an interprime number because it is at equal distance from previous prime (19958399999) and next prime (19958400001).

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19958400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1814399995 + ... + 1814400005.

Almost surely, 2^19958400000 is an apocalyptic number.

19958400000 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 19958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46438340256).

19958400000 is an abundant number, since it is smaller than the sum of its proper divisors (72918280512).

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

19958400000 is an frugal number, since it uses more digits than its factorization.

19958400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 19958400000 its reverse (485991), we get a palindrome (19958885991).

The spelling of 19958400000 in words is "nineteen billion, nine hundred fifty-eight million, four hundred thousand".